Explain how you can prove the difference of two cubes identity. a3 – b3 = (a – b)(a2 + ab + b2)

There isn't anything you can do with the left side of the equation. work on the right side instead: (a-b)(a²+ab+b²)use distributive property to expand the expression: a multiple every term in the second parenthesis: a³+a²b+ab²-b multiple every term in the second parenthesis: -a²b-ab²-b³add up: (a³+a²b+ab²)+ (-a²b-ab²-b³)=a³-b³=the left side