Find the product: (3x + 4)(3x − 4)
9x^2 + 24x − 16
9x^2 + 16
9x − 16
9x^2 − 16

- anonymous

Find the product: (3x + 4)(3x − 4)
9x^2 + 24x − 16
9x^2 + 16
9x − 16
9x^2 − 16

- schrodinger

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- anonymous

multiply it by foiling

- anonymous

okay well can u help

- anonymous

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## More answers

- anonymous

just foiling out

- anonymous

does this make sense @mikaa_toxica13

- anonymous

uhm there is no 9x^2 - 12 answer. only a 9x^2 - 16

- anonymous

sorry 4*-4 = -16

- anonymous

oh okay thank u. can u help with a few others ?

- anonymous

sure no problem

- anonymous

sorry im doing a few things at once, and at work right now so if it takes me a min to respond, dont worry

- anonymous

Factor Completely: x^2 + 25
(x + 5)(x + 5)
(x + 5)(x − 5)
(x − 5)(x − 5)
Prime

- anonymous

ok :)

- anonymous

so the easiest way to do this is to multiply out the factors you have there
you know that it needs to multiply out to a positive 25

- anonymous

okay. i think its B.

- anonymous

now also have you go over the list of items that are prime?

- anonymous

because if you multiply 5*-5 you get -25 not +25

- anonymous

oh

- anonymous

this factor is prime, im not sure if you were looking up or waiting for a responce but this one can not be factored

- anonymous

to justify this you can take the only one that will work, or rather come close, would be (x + 5)(x + 5) or (x − 5)(x − 5) and both of these would give you a middle term either -10x or +10x

- anonymous

i was trying to look it up :/ i jus cant really get it

- anonymous

for this, i know its going to be annoying for now, it will be a lot easier the more you do this, but multiply out the terms to find out what it comes out to

- anonymous

(x + 5)(x + 5) = x^2+10x+25
(x + 5)(x − 5) = x^2-25
(x − 5)(x − 5) = x^2-10x+25

- anonymous

then you can see, oh none of these match the answer, therefore it's prime.

- anonymous

oh okay thanks !
Factor Completely: 36x^2 − 25
(6x − 5)(x + 5)
(6x + 5)(6x + 5)
(6x − 5)(6x − 5) <--- answer
(6x + 5)(6x − 5)
Factor Completely: 3x^2 − 21
3(x^2 − 7) <---- answer
3(x + 7)(x − 7)
3(x + 7)(x − 3)
Prime

- anonymous

welllllll. on the first one, the easy thing to look at tis you need to have a -25 so what multiplies to give you a -25

- anonymous

nmv, to teh first one, the answer is D

- anonymous

good job!

- anonymous

on the second one, very good job!

- anonymous

Factor Completely: 2x^2 − 32
Prime<--- answer
2(x^2 − 16)
2(x + 4)(x + 4)
2(x + 4)(x − 4)

- anonymous

this one is not prime.

- anonymous

Factor Completely: x2 − 36
(x + 6)(x − 6)
(x + 6)(x + 6)
(x − 6)(x − 6)<---answer
Prime

- anonymous

okay then its gotta be B

- anonymous

Factor Completely: 2x^2 − 32
Prime
2(x^2 − 16)
2(x + 4)(x + 4)
2(x + 4)(x − 4)<--------answer, because 2(x^2-16) -> 2(x+4)(x-4)

- anonymous

Factor Completely: x2 − 36
(x + 6)(x − 6)<---answer
(x + 6)(x + 6)
(x − 6)(x − 6)
Prime

- anonymous

keep in mind that 6*-6 gives you -36

- anonymous

but the easiest way to look at this is x2 − 36, there is no middle term, this means there has to be one factor is that x + something and x - something to make the middle term go away

- anonymous

does this make sense @mikaa_toxica13

- anonymous

yes. thank u soo much !

- anonymous

good!

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