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anonymous
 one year ago
I will fan and medal
can you please help mw with the steps
Part A: Factor 3x^2y^2 − 2xy^2 − 8y^2. Show your work. (4 points)
Part B: Factor x^2 + 10x + 25. Show your work. (3 points)
Part C: Factor x^2 − 36. Show your work. (3 points)
these are my answers
part a: y^2=(3x+4)(x2)
part b: (x+5)(x+5)
part c: (x+6)(x6)
anonymous
 one year ago
I will fan and medal can you please help mw with the steps Part A: Factor 3x^2y^2 − 2xy^2 − 8y^2. Show your work. (4 points) Part B: Factor x^2 + 10x + 25. Show your work. (3 points) Part C: Factor x^2 − 36. Show your work. (3 points) these are my answers part a: y^2=(3x+4)(x2) part b: (x+5)(x+5) part c: (x+6)(x6)

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so....have you done any factoring? have you covered factoring?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I can check my answer using the FOIL method I just don't know the steps to factoring if that makes sense @jdoe0001

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok well.. let's start backwards any ideas on say C) since is very simple \(\bf x^236\) ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0are the answers I put at the bottom of my question right @jdoe0001

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0hmm ok well, those are given, but anyhow \(\bf x^236\qquad {\color{brown}{ 6^2=36}}\qquad thus\implies x^26^2 \\ \quad \\ \\ \textit{difference of squares} \\ \quad \\ (ab)(a+b) = a^2b^2\qquad \qquad a^2b^2 = (ab)(a+b)\\ \\ x^26^2\implies (x6)(x+6)\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0okay so I would explain this one by saying the square root of 36 is 6

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yes, or that 36 is the square of 6 and thus it makes it a difference of squares

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so that is showing work on factoring?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0B) is also simple if we factor 25, we get 5, 5, 1 5*5*1 = 25 if we "multiply" then 5*5 we get the last term if we "add" 5+5, we get the middle term thus \(\begin{array}{cccllll} x^2&+10&+25\\ &\uparrow &\uparrow \\ &5+5&5\cdot 5 \end{array}\implies (x+5)(x+5)\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0okay so if I were to explain it, it would be in order to factor x^2+10x+25 you pull out the GCF which in this case is 5 and simplify to (x+5)(x+5)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0well... 5 is not the GCF, notice \(x^2\) doesn't have a 5 you'd factor out the last term, the constant one and from a combination of two of its factors you ought to get the middle term

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so from the original problem of x^2+10x+25 you would factor the 10 and 25 and that's is supposed to be explaining the steps of how you get this answer?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0hmm well... you said you have already covered factoring so...... you should recall that you need to factor out the constant to get the values for the binomials

triciaal
 one year ago
Best ResponseYou've already chosen the best response.1dw:1438902732501:dwdw:1438903011604:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so by factoring out 25 we get 5*5 which will give us the two numbers we need but then would you take the square root of x cause you have to have two x's in the end

triciaal
 one year ago
Best ResponseYou've already chosen the best response.1dw:1438903164217:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so is this 3x(x2)+4(x2) the final answer and not y^2(3x+4)(x2) @triciaal

triciaal
 one year ago
Best ResponseYou've already chosen the best response.1I had +2 instead of +4 for the factors but correctly used + 4 for a sum of 2 made the correction dw:1438903609253:dw do you understand all the steps ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I took notes and can I tell you what I have and see if its all of them

triciaal
 one year ago
Best ResponseYou've already chosen the best response.1you can apply the steps for any factoring

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so first you take out the term y^2 then you have y^2(3x^32x8) identify a,b,c 3(8) =24 use 6,4 3x^26x+4x8 3x(x2)+4(x2)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0is that it and if not what would be next or changed? @triciaal

triciaal
 one year ago
Best ResponseYou've already chosen the best response.1I wrote out everything above look again and go all the way to the end

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0okay so it y^2(3x+4)(x2)

triciaal
 one year ago
Best ResponseYou've already chosen the best response.1yes and why dw:1438905177813:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0okay can you help me with the second one too its Part B: Factor x^2 + 10x + 25. Show your work. (3 points

triciaal
 one year ago
Best ResponseYou've already chosen the best response.1do you understand the steps now?

triciaal
 one year ago
Best ResponseYou've already chosen the best response.1do it this way and I will review by the way what @jdoe0001 did is correct just not all the details

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1438905441189:dw

triciaal
 one year ago
Best ResponseYou've already chosen the best response.1dw:1438905837998:dwdw:1438905995999:dw

triciaal
 one year ago
Best ResponseYou've already chosen the best response.1do you want to try this one x^2 + 7x + 12

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so to factor find a,b,c then find the common one and that's it

triciaal
 one year ago
Best ResponseYou've already chosen the best response.1identify a, b, c multiply a by c and list the factors choose the combination of factors that will add up to b pay attention to the signs rewrite the middle term using the sum of the factors regroup and factor ( the 2 sets ) identify the common term in the 2 sets factor out the common term from the 2 sets what you get is the complete factorization of the original

triciaal
 one year ago
Best ResponseYou've already chosen the best response.1what is your a,b,c here

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0a is x^2 b is 7x and c is 12

triciaal
 one year ago
Best ResponseYou've already chosen the best response.1a, b, c are just the numbers

triciaal
 one year ago
Best ResponseYou've already chosen the best response.1we use a, b, c for the general equation

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0okay so bis 7 and c is 12 but im not sure what a is maybe 1

triciaal
 one year ago
Best ResponseYou've already chosen the best response.1a*c = 1* 12 = 12 next step factors of 12

triciaal
 one year ago
Best ResponseYou've already chosen the best response.1review the instructions also the negatives we want the combination that when added will give b in this case +7 so we use +4 and +3

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0okay so the next step would be to regroup in two sets?

triciaal
 one year ago
Best ResponseYou've already chosen the best response.1we rewrite before we can group

triciaal
 one year ago
Best ResponseYou've already chosen the best response.1dw:1438907098686:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ooo then would you use FOIL

triciaal
 one year ago
Best ResponseYou've already chosen the best response.1dw:1438907153246:dw

triciaal
 one year ago
Best ResponseYou've already chosen the best response.1dw:1438907213735:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I goy an answer of 15x^2+55x but I don't think that's right

triciaal
 one year ago
Best ResponseYou've already chosen the best response.1think of FOIL and factor as opposites FOIL to expand and factor to "put in parenthesis"

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0okay thank you so for part c I know the other person said the steps but could you review what I have from it

triciaal
 one year ago
Best ResponseYou've already chosen the best response.1dw:1438907593062:dw

triciaal
 one year ago
Best ResponseYou've already chosen the best response.1dw:1438907801534:dw

triciaal
 one year ago
Best ResponseYou've already chosen the best response.1beauty of math no one approach for the same solution

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0okay I see it now thank you so much and once we group I=the final answer will be (x+6)(x6)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0omg thank you so much I wish I could give you a million medals you have been a life saver especially working with me for so long

triciaal
 one year ago
Best ResponseYou've already chosen the best response.1you are welcome all the best
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