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