What is factor x^5a+x^5b-a-b ?

The solution to factor x^5a+x^5b-a-b is (-1+x)(x^2+x^3+x^4+1+x)(a+b)

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factor x^5a+x^5b-a-b

factor

x^{5} a + x^{5} b - a - b

(- 1 + x) (x^{2} + x^{3} + x^{4} + 1 + x) (a + b)

Solution steps

x^{5} a + x^{5} b - a - b

Factor

x^{5} a - a : a (x - 1) (x^{4} + x^{3} + x^{2} + x + 1)

Factor

x^{5} b - b : b (x - 1) (x^{4} + x^{3} + x^{2} + x + 1)

= a (x - 1) (x^{4} + x^{3} + x^{2} + x + 1) + b (x - 1) (x^{4} + x^{3} + x^{2} + x + 1)

Factor out common term

(- 1 + x) (x^{2} + x^{3} + x^{4} + 1 + x)

= (- 1 + x) (x^{2} + x^{3} + x^{4} + 1 + x) (a + b)

x^{2} + 4 x - 0

5 π

2 a x - 2 x - y a + y

1 + 2 cos (θ) + cos^{2} (θ)

1 + (cos (x))^{2}

What is factor x^5a+x^5b-a-b ?
The solution to factor x^5a+x^5b-a-b is (-1+x)(x^2+x^3+x^4+1+x)(a+b)