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Find the area of the shaded region as a simplified expression.

Find the area of the shaded region as a simplified expression.-example-1

1 Answer

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Answer:

38x^2 - 12x

Explanation:

To find the area of the shaded region, take the area of the large rectangle and subtract the area of the unshaded rectangle

Area large rectangle

(8x-1) * 6x = 48x^2 -6x

Area unshaded rectangle

(5x+3) * 2x = 10x^2 +6x

Subtract

A large rectangle - A unshaded rectangle

48x^2 -6x - (10x^2 +6x)

Distribute the minus sign

48x^2 -6x - 10x^2 -6x

38x^2 - 12x

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