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

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

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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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Chapter 2: Polynomials - Exercise 2.5 [Page 49]

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NCERT Mathematics Class 9
Chapter 2 Polynomials
Exercise 2.5 | Q 5.1 | Page 49

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