Question

Louise completed the work shown below.

(5x3 + 3)2 = (5x3)2 + (3)2 = 25x6 + 9
Determine if Louise’s answer is correct. Explain.

Answer 1

I hope this helps you

Answer 2

The answer is incorrect.

The square of binomials is:
(a + b)² = a² + 2ab + b

In (5x³ + 3)², a = 5x³ and b = 3

Substitute it in the formula for the square of binomials:
(5x³ + 3)² = (5x³)² + 2 * 5x³ * 3 + 3² =
= 25x⁶ + 10x³ + 9

Louise’s answer is 25x⁶ + 9, which is incorrect.