Question

Find an algebraic expression that represents the area of the shaded region.

Answer 1

`2x^2+7x-16`

Explanation:

`x(3x-1)-(x-4)^2`

Use distributive:
`x(3x-1)=3x^2-x`

Use square of a binomial formula :
`(a-b)^2=a^2-2ab+b^2`

`(x-4)^2=x^2-8x+16`

`3x^2-x-(x^2-8x+16)=3x^2-x-x^2+8x-16=2x^2+7x-16`

The answer is
`2x^2+7x-16`

Hope this helps :)

Have a nice day!