122k views
0 votes
Kylie explained that (negative 4 x + 9) squared will result in a difference of squares because (negative 4 x + 9) squared = (negative 4 x) squared + (9) squared = 16 x squared + 81. Which statement best describes Kylie’s explanation?

Kylie is correct.
Kylie correctly understood that it is a difference of squares, but she did not determine the product correctly.
Kylie did not understand that this is a perfect square trinomial, and she did not determine the product correctly.
Kylie determined the product correctly, but she did not understand that this is a perfect square trinomial.

User Rocel
by
8.9k points

2 Answers

4 votes

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

Explanation:

User Tsdaemon
by
7.8k points
5 votes

Given:

The given expression is:


(-4x+9)^2

According to Kylie,


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


(-4x+9)^2=16x^2+81

To find:

The correct statement for Kylie's explanation.

Solution:

We have,


(-4x+9)^2

According to the perfect square trinomial
(a+b)^2=a^2+2ab+b^2.


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


(-4x+9)^2=16x^2-72x+81

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

Therefore, the correct option is C.

User Ankit Marothi
by
8.1k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories