Question

If (9x − 4)(9x + 4) = ax² − b, what is the value of a? (5 points)

Answer 1

The value of a is 81

Explanation:

The solution is in the image

Answer 2

Given, (9x - 4)(9x + 4) = ax² - b

From algebraic identities:

We know, (a + b)(a - b) = a² - b²

Now, 81x² + 36x - 36x - 16 = ax² - b

81x² - 16 = axis² - b

So ax² = 81x²

a = 81

-b = -16

b = 16

Solution

Therefore, the value of a is 81.

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