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If (9x − 4)(9x + 4) = ax2 − b, what is the value of a?

The value of a is _____________.

User Cyril
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2 Answers

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Answer: The value of a is 81.

User Adjanaye
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The factors, (9x - 4) and (9x +4), are obtained from factoring the sums of two square. Their product is obtained by subtracting the square of the second term from the square of the first term.

(9x)² - (4)² = 81x² - 16

The values of a and b are 81 and 16, respectively. Therefore, the answer is 81.

User Aankhen
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