Question

question 6 of 10 the polynomial below is a perfect square trinomial of the form $a^{2}-2ab + b^{2}$. $9x^{2}-18x + 36$ a. true b. false

Explanation:

Step1: Identify $A$ and $B$ for the first - term and last - term

For the first term $9x^{2}=(3x)^{2}$, so $A = 3x$. For the last term $36 = 6^{2}$, so $B=6$.

Step2: Check the middle - term

The middle - term of a perfect - square trinomial $A^{2}-2AB + B^{2}$ should be $-2AB$. Substitute $A = 3x$ and $B = 6$ into $-2AB$, we get $-2\times(3x)\times6=-36x$. But the given middle - term is $-18x$.

Answer:

B. False