Solve k^5+b^5 - ScanMath

Evaluate

k^{5} + b^{5}

Calculate

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

Rewrite the expression

k^{4} \times k + k^{4} b - k^{3} bk - k^{3} b \times b + k^{2} b^{2} k + k^{2} b^{2} \times b - k b^{3} k - k b^{3} \times b + b^{4} k + b^{4} \times b

Factor out k^{4} from the expression

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

Factor out - k^{3} b from the expression

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

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

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

Factor out - k b^{3} from the expression

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

Factor out b^{4} from the expression

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

Solution

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

K^5+b^5