what are 2 binomials whose product is x^2-25?? please help

- anonymous

what are 2 binomials whose product is x^2-25?? please help

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- anonymous

Difference of squares. \[a^2-b^2=(a+b)(a-b) \]

- anonymous

Ok so what would that make the binomials?

- anonymous

I just hate binomials i can't ever get them.

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## More answers

- lgbasallote

a+ b <---first binomial
a - b<---second binomial
just substitue a and b to the right values

- anonymous

Yes that's what I am having trouble finding though. Because the question states write 2 binomials whose product is x squared - 25

- anonymous

I have no clue, i know that sounds stupid

- anonymous

I just hate doing math anyways so it's confusing to me even when i do binomials.

- lgbasallote

okay here's a hint \[a^2 - b^2 \implies (a+b)(a-b)\]
so \[x^2 - 4 \implies (x + 2)(x-2)\]
\[x^2 - 9 \implies (x+3)(x-3)\]
\[x^2 - 16 \implies (x+4)(x-4)\]
are you getting it now?

- anonymous

so a bionomial for x squared -25 could be (x+5)?

- lgbasallote

yes that's one of the binomials...what's the other?

- anonymous

would it be (x-5)?

- lgbasallote

yes. the binomials for x^2 - 25 is (x+5)(x-5)
congrats

- anonymous

well see when i typed that in my program on my computer i have to do this math on it said it was incorrect

- lgbasallote

that's why i hate those computers lol. so picky

- lgbasallote

try putting them in one by one

- anonymous

i did i tried the x + 5 first

- lgbasallote

shouldnt make a difference but...try putting x-5 first?

- anonymous

Should I put the ( ) or not?

- anonymous

and it says type your answer in factor form so what would that be

- lgbasallote

(x+5)(x-5)

- lgbasallote

^factor form

- anonymous

so the (x+5)(x-5) is factor form?

- lgbasallote

yes (x+5)(x-5) is factor form...

- anonymous

can i ask you another math question

- lgbasallote

sure

- anonymous

The number of ways a teacher can award different prizes to 2 students in class having n students is given by the formula p(n)=n(n-1)

- anonymous

use this formula to determeine the number of ways a teacher can award different prizes to 2 students in a class having 6 students

- lgbasallote

substitute 6 into n in the formula

- anonymous

then it says to rewrite the formula by multiplying the factors

- lgbasallote

yes. substitute 6 into n in the formula...

- anonymous

ok so the formula would be P(6)=6(6-1)?

- lgbasallote

yes

- anonymous

just a couple more questions i promise

- anonymous

when i tried typing that the other way it said multiply the two factors of the expression for p(n) given in the problem statement to write the expression in a different way

- lgbasallote

i dont get what you're asking

- anonymous

It's just saying to rewrite the formula in a different way

- anonymous

by multiplying the factors

- lgbasallote

just substitute 6 into n...isnt that what you did?

- anonymous

Yea i did that for the first answer but it's not right for the second one

- lgbasallote

now multiply

- lgbasallote

simplify it

- anonymous

so the answer would be 30 right that simplified

- anonymous

but that's not the formula

- anonymous

can i give u my math xl login info and let you look at it?

- lgbasallote

the formula is what you wrote first

- lgbasallote

the simplified is the second answer

- anonymous

So the first formula was p(n)=n(n-1) then it was P(6)=6(6-1) then it was P(6)=6(5) and then P(6)=30

- lgbasallote

yes

- anonymous

But when it said to multiply factors and write the formula over I have no idea

- lgbasallote

multiply the factors means you multiply the factors <--that will give you 30
write the formula over is just copying the formula but substitute 6

- anonymous

ok so my answer box already has P(N)= so i need to put 6 X 5

- lgbasallote

if the start is p(n) =
then you rewrite the formula... n(n-1)

- anonymous

omg it said it wasn't in correct form that time but it was correct

- lgbasallote

lol. these computers are confusing me now o.O

- anonymous

I know right I don't know how to put it

- lgbasallote

me neither.

- lgbasallote

sorry kid. cant help you with your computer problems.

- lgbasallote

i have to go now so i wish you luck that you finish this

- anonymous

thanks soooo much for your help

- lgbasallote

welcome

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