Solve x^5+m^5 - ScanMath

Evaluate

x^{5} + m^{5}

Calculate

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

Rewrite the expression

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

Factor out x^{4} from the expression

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

Factor out - x^{3} m from the expression

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

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

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

Factor out - x m^{3} from the expression

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

Factor out m^{4} from the expression

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

Solution

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

Factor the expression