Louise completed the work shown below.

Question

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

Answer 1

Louise's answer is incorrect. When applying the distributive property to expand the expression (5x3 + 3)2, we get:

(5x3 + 3)2 = (5x3)2 + 2 * (5x3) * 3 + 3^2
= 25x6 + 30x3 + 9.

Therefore, the correct expanded form of the expression is 25x6 + 30x3 + 9, not 25x6 + 9 as Louise stated.