Question

A square has an area of 16x^2 square inches. If the sides of the square were to increase by 2 units, what is the new area of the square?

Answer 1

16x² + 64x + 64

Explanation:

Given

A = 16x²

Increasing the sides by 2, substitute x = x + 2 into A

A = 16(x + 2)² ← expand factor using FOIL

= 16(x² + 4x + 4 ) ← distribute

= 16x² + 64x + 64