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The product of (3x - 4y)(3x + 4y)(9x2 + 16y2) is:
1. 81x2 - 256y2
2. 81x4 - 256y4
3. 81x4 + 256y4
4. 81x2 + 256y2

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Best answer
Correct Answer - Option 2 : 81x4 - 256y4

Given:

(3x - 4y)(3x + 4y)(9x2 + 16y2)

Formula used:

(a + b)(a - b) = a2 - b2

Calculation:

Here, a = 3x and b = 4y

According to the question

(3x - 4y)(3x + 4y)(9x2 + 16y2)

⇒ [(3x)2 - (4y)2] × (9x2 + 16y2)

⇒ (9x2 - 16y2) × (9x2 + 16y2)

⇒ [(9x2)2 - (16y2)2]

⇒ 81x4 - 256y4

∴ The product of (3x - 4y)(3x + 4y)(9x2 + 16y2) is 81x4 - 256y4.

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