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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 statement best describes Kylie’s explanation?

Answer is C, (Kylie did not understand that this is a perfect square trinomial, and she did not determine the product correctly.)

2 Answers

4 votes
the answer is correct because it would have to go like this;

(-4x + 9)² = (-4x + 9)(-4x + 9)

hope this helps, God bless!
User KRB
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4 votes

Answer:

In fact this equation:




{(-4x+9)}^(2) (1)


Is a perfect square trinomial, which is a polynomial of three terms that results from squaring a binomial (two terms); and the correct way to solve it is:




{(a+b)}^(2)=a^(2)+2ab+b^(2) (2)



Then, according to (2), the binomial (1) is solved as follows:





{(-4x+9)}^(2)={(-4x)}^(2)+2(-4x)(9)+9^(2)




{(-4x+9)}^(2)=16x^(2)-72x+81 >>>>>>>This is the righ answer


Therefore, Kylie did not determine the product correctly



User George Hanson
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9.0k points