Question

4xsquare+1/4xsquare―49ysquare+2
pls factorize it ......

Answer 1

Que. 4x^2 +1/4x^2 - 49y^2 +2
= 4x^2 +1/4x^2 +2- 49y^2
= (2x)^2 +(1/2x)^2 + (2)(2x)(1/2x) -(7y)^2
[By using the identity a^2 + b^2 + 2ab =(a+b)^2]
= (2x +1/2x )^2 - (7y)^2
[By using identity a^2 + b^2 = (a+b)(a-b)]
= (2x +1/2x -7y)(2x+1/2x+7y)
Hope this helps......