Question

I need help quick

A student is cutting a square out of a piece of poster board. The area of the poster board can be represented as (4x ^ 2 + 14x - 8) in ^ 2 The area of the square can be represented as (x ^ 2 + 8x + 16) in^2 Write an expression to represent the area of the poster board left over after the student cuts out the square

Answer 1

area left = (3x² + 6x - 24) in²

Explanation:

the area of poster board left

= area of poster board - area of square cut out

= 4x² + 14x - 8 - (x² + 8x + 16) ← distribute parenthesis by - 1

= 4x² + 14x - 8 - x² - 8x - 16 ← collect like terms

= (4x² - x² ) + (14x - 8x) + (- 8 - 16)

= 3x² + 6x + (- 24)

= (3x² + 6x - 24) in²