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in Polynomials by (65.3k points)

Factorise :
(i) 4x2 + 9y2 + 16z2 + 12xy – 24yz – 16xz
(ii) 2x2 + y2 + 8z2 – 2√2xy + 4√2yz- 8xz

1 Answer

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Best answer

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

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