Question

Factorise 8(x+y)^3-27(x-y)^3

Answer 1

Equation at the end of step  1  :

(8 • ((x + y)3)) - 27 • (x - y)3

Step  2  :

Equation at the end of step  2  :

8 • (x + y)3 - 27 • (x - y)3

Step  3  :

 3.1    Evaluate :  (x+y)3   =  x3+3x2y+3xy2+y3   3.2    Evaluate :  (x-y)3   =  x3-3x2y+3xy2-y3 

Checking for a perfect cube :

 3.3    -19x3+105x2y-57xy2+35y3  is not a perfect cube 

Final result :

-19x3 + 105x2y - 57xy2 + 35y