Correct Answer - Option 2 : 81x
4 - 256y
4
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.