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Question

Factorise : $$ 81 -16x^2 $$


Solution

Given : $$ 81 -16x^2 $$
We can further write it as 
 $$ 81 -16x^2 $$$$ =9^2 -(4x)^2 $$
Based on equation $$ a^2 -b^2 = (a+b)(a-b) $$
We get,
 $$ 81 -16x^2 $$$$ =(9+4x)(9-4x) $$

Mathematics
RS Agarwal
Standard IX

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