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Home / Aptitude Tests / Mathematics / Factorize: \(16x^4 -...
Factorize: 16x4y4...

Factorize: 16x4y4

A.

(2xy)(2x+y)(4x2+y2)

B.

(2x+y)(2x+y)(4x2+y2)

C.

(2xy)(2xy)(4x2+y2)

D.

(2xy)(2x+y)(4x2y2)

Correct answer is A

16x4y4

= 24x4y4

= (2x)4y4

= ((2x)2)2(y2)2

Using a2b2 = (a - b)(a + b) identity

= ((2x)2y2)((2x)2+y2)

Using the identity one more time

= (2xy)(2x+y)((2x)2+y2)

(2xy)(2x+y)(4x2+y2)