1.

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Answer»

(i) 4x2+ 9y2+ 16z2+ 12xy- 24yz- 16xzUsing identity, (a + b +c)2= a2+ b2+ c2+ 2ab + 2bc + 2ca4x2+ 9y2+ 16z2+ 12xy - 24yz - 16xz= (2x)2+ (3y)2+ (-4z)2+ (2×2x×3y) + (2×3y×-4z) + (2×-4z×2x)=(2x + 3y - 4z)2=(2x + 3y - 4z) (2x + 3y - 4z)

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