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Factorise:- 4x^2 + 9y^2 + 16z^2 + 12xy – 24yz – 16xz - CBSE Class 9 - Mathematics

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Question

Factorise:- 4x2 + 9y2 + 16z2 + 12xy – 24yz – 16xz

Solution

It is known that,

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

4x2+9y2+16z2+12xy24yz16xz

=(2x)2+(3y)2+(4z)2 2(2x)(3y2(3y)(4z2(4z)(2x)

=(2x+3y4z)2

=(2x+3y4z)(2x+3y4z)

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Solution Factorise:- 4x^2 + 9y^2 + 16z^2 + 12xy – 24yz – 16xz Concept: Algebraic Identities.
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