Q. 5 A5.0( 2 Votes )

# Factorize :9x2 + 4y2 + 16z2 – 12 xy – 16yz + 24 xz

Using Identity:

(x + y + z)2 = x2 + y2 + z2 + 2xy + 2yz + 2zx

9x2 + 4y2 + 16z2 – 12 xy – 16yz + 24 xz = (– 3x)2 + (2y)2 + (– 4z)2 + 2(– 3x)(2y) + 2(2y)(– 4z) + 2(– 4z)(– 3x)

= (– 3x + 2y – 4z)2

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