Question

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

Answer 1

Answer:

$2x^2+7x-16$

Step-by-step 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!