Question

Factorize:
216a cube -2 root2 b cube\

Guys plz solve...

Answer 1

216^3 - 2√2 b^3

=(216)^3 - ( √2)^3b^3

=(216)^3 - (√2b)^3

a^3 - b^3 = ( a- b) {a^2 + ab + b^2 }

here , a = 216 , b = √2b

(216)^3 - (√2b)^3 =( 216 - √2b) { (216)^2

+ 216(√2b) + (√2b)^2 }

= (216 - √2b ){ 46656+216√2b + 2b^2 }

hope it helps !

thank you!