Question

Factorize a. −27^3−^3+ ^3−9

Answer 1

Answer:

(3x+y+z)(9x²+y²+z²−3xy−yz−3zx)

Step-by-step explanation:

27x³+y³+z³−9xyz

=(3x)³+y³+z³−9xyz

=(3x)³+y³+z³−3×3x×y×z

using identity

a³+b³+c³−3abc=(a+b+c)(a²+b²+c²−ab−bc−ca)

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

=(3x+y+z)(9x²+y²+z²−3xy−yz−3zx).