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Please show the steps.

Please show the steps.-example-1

1 Answer

4 votes

Answer:

(x + 1)(x + 7)

Explanation:

We can construct the following equation to model the area of the shaded region:

area of shaded = (area of large square) - (area of small square)

A = (x + 4)² - 3²

This can be simplified by executing the exponents, then factoring the resulting expression.

A = (x² + 8x + 16) - 9

A = x² + 8x + 7

A = (x + 1)(x + 7)

User Enigmatic Wang
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