Factorize #25x^2+60x+36#?

1 Answer
Shwetank Mauria
Jul 26, 2016

#25x^2+60x+36=(5x+6)^2#

Explanation:

In #25x^2+60x+36#, the first and third term are complete square as #25x^2=(5x)^2# and #36=6^2# and middle term is double the product of #5x# and #3# i.e. #2xx5x xx6=60x#

Hence using the identity #(a+b)^2=a^2+2ab+b^2#

#25x^2+60x+36#

= #(5x)^2+2xx5x xx6x+6^2#

= #(5x+6)^2#

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