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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.)

Respuesta :

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

(-4x + 9)² = (-4x + 9)(-4x + 9)

hope this helps, God bless!
cryssatemp

Answer:

In fact this equation:



[tex]{(-4x+9)}^{2}[/tex]   (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:



[tex]{(a+b)}^{2}=a^{2}+2ab+b^{2}[/tex]   (2)



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




[tex]{(-4x+9)}^{2}={(-4x)}^{2}+2(-4x)(9)+9^{2}[/tex]    



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


Therefore, Kylie did not determine the product correctly



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