Question

fill in the area of the missing dimensions and areas of the rectangles below. write an equation for the total area by adding the purple boxes. area = (x - 1)(2x - 2)

Explanation:

Step1: Expand using FOIL method

$(x - 1)(2x-2)=x\times(2x - 2)-1\times(2x - 2)$

Step2: Distribute the terms

$x\times(2x - 2)-1\times(2x - 2)=2x^{2}-2x-(2x - 2)$

Step3: Remove parentheses

$2x^{2}-2x-(2x - 2)=2x^{2}-2x - 2x+2$

Step4: Combine like - terms

$2x^{2}-2x - 2x+2=2x^{2}-4x + 2$

Answer:

$2x^{2}-4x + 2$