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a given algebraic expression may be written as 14a²+2a+16. if the expression 5a²- 9a+7 is subtracted from the given algebraic expression what expression is left?​

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ACUINPAULA8GO

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ANSWER AND EXPLANATION

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Let's simplify step-by-step.

14a²+2a+16−(5a²−9a+7)

Distribute the Negative Sign:

=14a²+2a+16+−1(5a²−9a+7)

=14a²+2a+16+−1(5a²)+−1(−9a)+(−1)(7)

=14a²+2a+16+−5a²+9a+−7

Combine Like Terms:

=14a²+2a+16+−5a²+9a+−7

=(14a²+−5a²)+(2a+9a)+(16+−7)

=9a²+11a+9

Answer:

=9a²+11a+9

Therefore,the answer is 9a²+11a+9

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