Solve a^5-b^5 - ScanMath

Evaluate

a^{5} - b^{5}

Calculate

a^{5} - a^{4} b + a^{4} b - a^{3} b^{2} + a^{3} b^{2} - a^{2} b^{3} + a^{2} b^{3} - a b^{4} + b^{4} a - b^{5}

Rewrite the expression

a^{4} \times a - a^{4} b + a^{3} ba - a^{3} b \times b + a^{2} b^{2} a - a^{2} b^{2} \times b + a b^{3} a - a b^{3} \times b + b^{4} a - b^{4} \times b

Factor out a^{4} from the expression

a^{4} (a - b) + a^{3} ba - a^{3} b \times b + a^{2} b^{2} a - a^{2} b^{2} \times b + a b^{3} a - a b^{3} \times b + b^{4} a - b^{4} \times b

Factor out a^{3} b from the expression

a^{4} (a - b) + a^{3} b (a - b) + a^{2} b^{2} a - a^{2} b^{2} \times b + a b^{3} a - a b^{3} \times b + b^{4} a - b^{4} \times b

Factor out a^{2} b^{2} from the expression

a^{4} (a - b) + a^{3} b (a - b) + a^{2} b^{2} (a - b) + a b^{3} a - a b^{3} \times b + b^{4} a - b^{4} \times b

Factor out a b^{3} from the expression

a^{4} (a - b) + a^{3} b (a - b) + a^{2} b^{2} (a - b) + a b^{3} (a - b) + b^{4} a - b^{4} \times b

Factor out b^{4} from the expression

a^{4} (a - b) + a^{3} b (a - b) + a^{2} b^{2} (a - b) + a b^{3} (a - b) + b^{4} (a - b)

Solution

(a^{4} + a^{3} b + a^{2} b^{2} + a b^{3} + b^{4}) (a - b)

Factor the expression