NCERT Solutions Class 8 Mathematics Solutions for Exercise 14.2 in Chapter 14 - Factorisation

Question 2 Exercise 14.2

Factorise the expression:

49 y^{2}+84 y z+36 z^{2}



The factorization is substantially simpler when certain identities are used.

The provided expression that needs to be factored has the following form, or may be written in this way: a2 +2ab + b2 = (a+b)2.

\begin{array}{l} 49 y^{2}+84 y z+36 z^{2} \\ =(7 y)^{2}+2 \times 7 y \times 6 z+(6 z)^{2} \\ =(7 y+6 z)^{2} \\ \operatorname{Using} i d e n t i t y:(x+y)^{2}=x^{2}+2 x y+y^{2} \end{array}

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