Question

NEED HELP ASAP!!!!!

I need help on question 25

Answer 1

The area of the shaded region is given by
`14x^2-6x-2`.

Explanation:

The shaded region is the big rectangle minus the smaller, inner one.

The area of any rectangle is its base multiplied by its height.

The area of the big rectangle is (5x+2)(3x-1), and the area of the small one is x(x+7). So the area of the shaded region is (5x+2)(3x-1)-x(x+7), computing the algebra:

`(5x+2)(3x-1)-x(x+7)= (15x^2+6x-5x-2)-(x^2+7x)=15x^2+x-2-x^2-7x=14x^2-6x-2`.

Answer 2

area = 14x^2 -6x -2

Explanation:

The area of the shaded region is the product of dimensions of the large rectangle less the product of dimensions of the smaller (unshaded) rectangle.

area = (5x+2)(3x-1) -(x)(x+7)

= 15x^2 +6x -5x -2 -x^2 -7x . . . . . . eliminate parentheses

= 14x^2 -6x -2 . . . . . . . . . . . . . . . . . collect terms