Question

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?.

Answer 1

A perfect square trinomial is the result in algebraic form which is obtained by solving the squared binomial expression. Kylie did not understand that this is a perfect square trinomial and she did not determine the product correctly. Thus the option C is the correct option.

Given information-

The expression for the given problem is,

$(-4x+9)^2$

Perfect square trinomial

A perfect square trinomial is the result in algebraic form which is obtained by solving the squared binomial expression.

The perfect square trinomial can be given as,

$ax^2+bx+c$

The given expression can be solved as,

$(-4x+9)^2=(-4x+9)\times(-4x+9)\\(-4x+9)^2=-4x(-4x+9)+9(-4x+9)\\(-4x+9)^2=16x^2-36x-36x+81\\(-4x+9)^2=16x^2-72x+81$

Hence Kylie did not understand that this is a perfect square trinomial and she did not determine the product correctly. Thus the option C is the correct option.

Learn more about the perfect square trinomial here;

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