Mathematics: Answer and explain your reasoning !

Answer and explain your reasoning ! - id3388986, nasrul3725

Ответ:

isabelsmhl

07.01.2022

This formula will be useful in helping us factor this.

$49x^{16}-16y^{64}$

This is the equation that we are going to factor.
Let's first change this equation to have the form a^2-b^2

In order to do that, here are two important exponent rules that was used.
$(a^b)^c=a^{bc}$
(ab)^c=a^c b^c

With those rules, we can change the equation into the following:
$(7x^8)^2-(4y^{32})^2$

Refer back to the formula I showed in the beginning of this answer.
a^2-b^2=(a-b)(a+b)

$(7x^8)^2-(4y^{32})^2=(7x^8-4y^{32})(7x^8-4y^{32})$

Thus, your answer is the first choice. Hope this helps! :)

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Ответ:

JNH16

13.08.2020

Mathematics

Are there suppose to be pictures of the questions attached to this?

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Answer and explain your reasoning !

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