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\[(5x^2 + 3x + 4) − (2x^2 − 6x + 3)\]distribute the minus sign and get \[5x^2 + 3x + 4 -2x^2 + 6x - 3)\]
since you are only asked for B you job is to compute \(3+6\)
Add up 3x^2 - 9 and 2x + 9 So (3x^2 - 9) + (2x + 9) = ???
Sorry, I didn't see the first x Add x, 3x^2 - 9 and 2x+9 (x) + (3x^2 - 9) + (2x + 9) x + 3x^2 - 9 + 2x + 9 3x^2 + 3x + 0 3x^2 + 3x
So after adding x, 3x^2 - 9 and 2x + 9, you will get 3x^2 + 3x, which is the total distance covered
soo its 3x^2 + 3x
add them up \[x+3x^2 - 9+2x + 9\]
they really reach for these "word problems" don't they ?
they could have said "add the polynomials"
LOLLL yess they do !! Can you guys do me onee more favor and just double check my work ?
sure, what do you need to check
ill write the 5 questions and show you my answers
1. Simplify the following expression: (x − 8y) - (2x − 4y)If the final answer is written in the form Ax + By, what is the value of B? 2. Simplify: (4x − 6) − (5x + 1) 3. Simplify: (5x^2 + 3x + 4) + (5x^2 + 5x − 1) 4. Simplify: (4x − 6) + (3x + 6) & You helped me with the other 2 questions so i just put the ones i did on my own but these were my answers 1. 4y 2. -x-7 3. 10x^2 + 8x + 5 4. 7x+12
ok one sec
alrighty :] Thanks!!
#1 the form is form Ax + By they want the value of B, so the answer cannot be 4y
besides, -8y + 4y isn't 4y anyway you lost a sign somewhere
Im bad with my signs /: negatives and positives -.- so confusing
think of it like this -8 + 4 is the same as saying you're 8 dollars in debt, but you paid off $4 of that debt, so you're now 4 dollars in debt
so that explains how -8 + 4 = -4
and why -8y + 4y = -4y
so itd be -4?
B is -4, yep
# 2 is correct, so congrats on that
#3 is close
but not correct fully
4 + (-1) is NOT 5
you have 4 dollars you add on 1 IOU
you really have 4-1 = 3 dollars left (after you pay off the IOU)
so that's why 4 + (-1) = 4 - 1 = 3
oh alright ! i get it now.
# 4 is also incorrect
sorry im blonde it takes a little bit.
that's ok, just practice practice practice and hair color is just skin deep...has nothing to do with intelligence
Lol yeah , im guessing #4 is 7x-12
-6 + 6 = ???
-6 means you are $6 in debt add on $6, so you are paying off $6 are you still in debt?
nope itd be zero :o
-6+6 = 0
so the answers just 7x?
so you'd have 7x+0 or just 7x
you got it
ok aha :]
just watch out for the signs and try not to forget any
Ill think of the whole dollar thing next time i come to the signs , Thank you so much ! ! :]
that's how I grasp negatives when I stumble a bit, and you're welcome
Ive always troubled negatives , ive been taking algebra 1 for 3 years now , and havent passed . Im working so much harder now ,
have you thought of using money terms for negatives before? I'm just curious how your teachers have taught negatives in the past
ive heard of it but it was never enforced.
I gotcha, so they brought it up (maybe once or twice), but never really stuck to it
Im trying to finish up my work for next week so im ahead so i can spend my spring break with my younger sister , would you mind helping me with Multiplying monomials?
sure I can help
Choose the correct simplification of the expression d^3 • d^5. d d^15 d^2 d^8
what did you get
the arrow represents the degree of the monomials incase you didnt already know lol. and i think its d^15??
^ means exponents, yes I know and no it's not d^15
if you are multiplying expressions with the same base, then you add the corresponding exponents
example x^2 times x^3 = x^(2+3) = x^5
Alright that sounds a little better so d^8 ?
because you can expand out the 'x' terms and you'll see 5 total x terms
alright you make this so much easier than the lesson lol
lol glad to hear that
glad it's finally clicking
Choose the correct simplification of the expression (b^5)^4. b^9 b^625 b^20 b
you got ???
you're a total pro at this
HA i wish!
you're just not giving yourself enough credit
Choose the correct simplification of the expression (3x)^4. 81x^4 12x^5 81x^5 12x^4
raise each piece to the 4th power
so you raise 3 to the 4th power to get ____
yep, you got it
see you know this stuff
haha slowly but getting it !! :)
well as long as you get there, that's all that matters
Choose the correct simplification of the expression (x^2y)^2. x^4y^3 x^6y^6 x^4y^2 xy^4
what did you get
Havent even tried it yet lol .but im thinking the ^2 on the outside is going to distribute to the ones in the parenthese?
yes that's one way of thinking about it basically you raise each part to the 2nd power
x^2 to the 2nd power ----> x^2 * x^2 = x^(2+2) = x^4
y to the second power -----> y^2
or you can multiply the exponents multiply the outer by each of the inner
:] this isnt so hard
no, it's not at all just depends on how much practice you have and how you look at it
Choose the correct simplification of the expression b^5 • b^4. b b^9 b^20 b^−1
you got _____
you add the exponents I'll brb
3 more ,
ok sounds good.
no worries I'll be back in a few min and I'll help you with those 3
Choose the correct simplification of the expression (d3)^5. d^8 d^15 d^243 d
d^15 right ?
correct, assuming you mean (d^3)^5
yes sorry i forgot the ^ x]
okay these last 3 .
and you got what for each
How do i simplify them ?
just add the exponents?
(3d)^3 turns into 27d^3
so (3d)^3 * d becomes 27d^3 * d
and that becomes what?
um. 27d^4 ?
alright i struggled a little bit
now simplify the other expression
that's ok, just keep practicing it and it'll come more easily to you
the second one the exponents are just gonna get added to each other right ?
no, when you square something that has an exponent, you are multiplying the exponents
ex: (3x^5)^2 ---> 9x^(5*2) = 9x^(10)
so the exponents are different? or equal?
so that means you go with C for the first one
exponents are the same
alright number 8 looks like mumbo jumbo...
same thing applies to #8, it's just a bit more complicated maybe
they want you to simplify as much as possible, then compare exponents for expressions 1 and 2
(2y^2)^3 = 8y^(2*3) = 8y^6
(y^9)*(2y^2)^3 turns into y^9 * 8y^6
what about that y^9
just added it back in so to speak
I focused on simplifying (2y^2)^3 first
then re-introduced the y^9 back in
okay so the first one you just add the like terms now right?
yep you add the exponents
y^9 * 8y^6 = 9y^15
the exponent is correct, but that 8 should stay the same
so it's 8y^15
silly typo though
alright so 8y^15 for the first one ,
now simplify the second one using the same steps
(2y^3)^2 = ???
(9y)(2y^3)^2 becomes 9y*4y^6
you multiply the coefficients out front
9*4 = 36
and you add the exponents 1+6 = 7
so 36y^7 ?
that one was hard lol
now compare 8y^15 to 36y^7
its ok, it'll get easier over time
the first ones exponents are greater than
Alright this is my last one .
Part 1: Explain, using complete sentences, how to simplify the expression below. Part 2: What is the simplified expression? (3x^3y^4)(2x^2y^6)
the coefficients are 3 and 2 what do you do with these?
3 * 2 = 6 is your final coefficient
now for each variable, you add the corresponding exponents
so 6x^5 ?
so for the x terms, you add the exponents 3 and 2 to get 3+2 = 5 5 is the final exponent for x
so far so good, now do y
well y doesnt have any numbers but every variable is equal to 1 , so would it be 2y^10?
don't worry about the coefficient, that's been taken care of already
just focus on the exponents for y
so y^10 ?
they are 4 and 6, they add to 4+6 = 10
so all together, we get 6x^5y^10
alright . so thats the simplied answer?
that was easier lol
lol depends on how you look at it i guess
Thank you so much for all your time helping me tonight .