Kylie explained that (–4x + 9)2 will result in a difference of squares because (–4x + 9)2 = (–4x)2 + (9)2 = 16x2 + 81. Which sta

Question

3 years ago

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Kylie explained that (–4x + 9)2 will result in a difference of squares because (–4x + 9)2 = (–4x)2 + (9)2 = 16x2 + 81. Which sta

tement best describes Kylie’s explanation?
A=Kylie is correct.
B=Kylie correctly understood that it is a difference of squares, but she did not determine the product correctly.
C=Kylie did not understand that this is a perfect square trinomial, and she did not determine the product correctly.
D=Kylie determined the product correctly, but she did not understand that this is a perfect square trinomial.

Mathematics

2 answers:

Serjik [45] · Answer 1 · 2022-01-14T14:21:32+03:00

The correct product should have been:
<span>(–4x + 9)2 = </span>(-4x)2 + 2(-4x)(9) + 9^2 = 16x6 - 72x +81
The result is a trinomial and not a binomial nor a difference of two squares.

So, the answer is:
C = Kylie did not understand that this is a perfect square trinomial, and she did not determine the product correctly.