What is factor 5a-3b-3bc^5+5ac^5 ?

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

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factor 5a-3b-3bc^5+5ac^5

factor

5 a - 3 b - 3 b c^{5} + 5 a c^{5}

(1 + c) (c^{2} - c^{3} + c^{4} + 1 - c) (5 a - 3 b)

Solution steps

5 a - 3 b - 3 b c^{5} + 5 a c^{5}

Rewrite as

= 1 \cdot 5 a - 3 b - 3 b c^{5} + 5 a c^{5}

Factor out common term

5 a

= 5 a (1 + c^{5}) - 3 b - 3 b c^{5}

Factor

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

= - 3 b - 3 b c^{5} + 5 a (c + 1) (c^{4} - c^{3} + c^{2} - c + 1)

Rewrite as

= 5 a (1 + c) (c^{2} - c^{3} + c^{4} + 1 - c) - 1 \cdot 3 b - 3 b c^{5}

Factor out common term

3 b

= 5 a (1 + c) (c^{2} - c^{3} + c^{4} + 1 - c) - 3 b (1 + c^{5})

Factor

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

= 5 a (c + 1) (c^{4} - c^{3} + c^{2} - c + 1) - 3 b (c + 1) (c^{4} - c^{3} + c^{2} - c + 1)

Factor out common term

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

= (1 + c) (c^{2} - c^{3} + c^{4} + 1 - c) (5 a - 3 b)

\frac{6}{3 - 1}

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(sin (4 θ)) d x

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