9.4k views
4 votes
If (9x − 4)(9x + 4) = ax2 − b, what is the value of a?

The value of a is _____________.

User Cyril
by
8.4k points

2 Answers

7 votes

Answer: The value of a is 81.

User Adjanaye
by
8.3k points
5 votes
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
by
8.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.