4x4 -25x2 +36=?

A (x + 2)(x - 2)(2x + 3)(2x - 3)

B (2x + 1)(2x - 1)(2 + 6)(x - 6)

C (x + 3)(x - 3)(2x + 2)(2x - 2)

D (x + 2)(2x - 3)(2x + 3)(3x + 2)

Solution

Correct Answer: Option A

4x4-25x2+36
= 4x4-9x2-16x2+36
=x2(4x2-9)-4(4x2-9)
=(x2-4) (4x2-9)
=(x+2)(x-2)(2x+3)(2x-3)

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