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question 1 of 10 the polynomial below is a perfect square trinomial of …

Question

question 1 of 10
the polynomial below is a perfect square trinomial of the form $a^{2}-2ab + b^{2}$.
$9x^{2}-12x + 4$
a. true
b. false

Explanation:

Step1: Identify A and B

For $9x^{2}-12x + 4$, we have $A^{2}=9x^{2}$, so $A = 3x$; $B^{2}=4$, so $B = 2$.

Step2: Check - 2AB

Calculate $-2AB=-2\times(3x)\times2=-12x$, which is the middle - term of the given polynomial.

Answer:

A. True