Question

factorize 27^3+y^3-z^3+9xyz

Answer 1

Factorise :

27x 3 +y 3+z 3 −9xyz

★ANSWER:-

27x 3 +y 3 +z 3−9xyz

=(3x) 3+y 3+z 3 −9xyz

=(3x) 3 +y 3+z 3−3×3x×y×z

◇using identity:-

a 3 +b 3+c 3−3abc=(a+b+c)(a 2 +b 2 +c−ab−bc−ca)

Putting a=3x,b=y,c=z

=(3x+y+z)(9x 2 +y 2+z 2 −3xy−yz−3zx).