The polynomial below is a perfect square trinomial of the form A2 - 2AB + B2.9𝑥2−18𝑥+369x 2 −18x+36A.TrueB.False

The given polynomial is 9x^2 - 18x + 36.

A perfect square trinomial is of the form (Ax - B)^2 = A^2x^2 - 2ABx + B^2.

Let's compare the given polynomial with the perfect square trinomial:

A^2 should be equal to the coefficient of x^2 in the given polynomial, which is 9. So, A = sqrt(9) = 3.

B^2 should be equal to the constant term in the given polynomial, which is 36. So, B = sqrt(36) = 6.

The middle term of the perfect square trinomial is -2AB. So, -2AB = -236 = -36.

But in the given polynomial, the coefficient of x is -18, not -36.

So, the given polynomial is not a perfect square trinomial of the form A^2 - 2AB + B^2.

Therefore, the answer is B. False.