Solve x^5-y^5 - ScanMath

Evaluate

x^{5} - y^{5}

Calculate

x^{5} - x^{4} y + x^{4} y - x^{3} y^{2} + x^{3} y^{2} - x^{2} y^{3} + x^{2} y^{3} - x y^{4} + y^{4} x - y^{5}

Rewrite the expression

x^{4} \times x - x^{4} y + x^{3} y x - x^{3} y \times y + x^{2} y^{2} x - x^{2} y^{2} \times y + x y^{3} x - x y^{3} \times y + y^{4} x - y^{4} \times y

Factor out x^{4} from the expression

x^{4} (x - y) + x^{3} y x - x^{3} y \times y + x^{2} y^{2} x - x^{2} y^{2} \times y + x y^{3} x - x y^{3} \times y + y^{4} x - y^{4} \times y

Factor out x^{3} y from the expression

x^{4} (x - y) + x^{3} y (x - y) + x^{2} y^{2} x - x^{2} y^{2} \times y + x y^{3} x - x y^{3} \times y + y^{4} x - y^{4} \times y

Factor out x^{2} y^{2} from the expression

x^{4} (x - y) + x^{3} y (x - y) + x^{2} y^{2} (x - y) + x y^{3} x - x y^{3} \times y + y^{4} x - y^{4} \times y

Factor out x y^{3} from the expression

x^{4} (x - y) + x^{3} y (x - y) + x^{2} y^{2} (x - y) + x y^{3} (x - y) + y^{4} x - y^{4} \times y

Factor out y^{4} from the expression

x^{4} (x - y) + x^{3} y (x - y) + x^{2} y^{2} (x - y) + x y^{3} (x - y) + y^{4} (x - y)

Solution

(x^{4} + x^{3} y + x^{2} y^{2} + x y^{3} + y^{4}) (x - y)

Factor the expression