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Which polynomial represents the area of the shaded region with the fewest terms?​

Which polynomial represents the area of the shaded region with the fewest terms?​-example-1

1 Answer

5 votes

Answer:

14x-85

Explanation:

The area of the shaded region is


(x + 6)(x - 6) - {(x - 7)}^(2)

which if you use the identities to expand it gives you


{x}^(2) - 36 - {x}^(2) + 14x - 49

This then reduces to be


14x - 85

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