What is factor 7(r-2s)^5-rx+2sx ?

The solution to factor 7(r-2s)^5-rx+2sx is (r-2s)(7(r-2s)^4-x)

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factor 7(r-2s)^5-rx+2sx

factor

7 (r - 2 s)^{5} - r x + 2 s x

(r - 2 s) (7 (r - 2 s)^{4} - x)

Solution steps

7 (r - 2 s)^{5} - r x + 2 s x

Factor out common term

x

= 7 (r - 2 s)^{5} + x (- r + 2 s)

Apply exponent rule:

a^{b + c} = a^{b} a^{c}

(r - 2 s)^{5} = (r - 2 s) (r - 2 s)^{4}

= 7 (r - 2 s) (r - 2 s)^{4} + x (- r + 2 s)

Rewrite as

= 7 (r - 2 s) (r - 2 s)^{4} - (r - 2 s) x

Factor out common term

(r - 2 s)

= (r - 2 s) (7 (r - 2 s)^{4} - x)

[(a^{2} - 1) - a] [(a^{2} - 1) + a]

2 n x - 5 x + 4 n y - 10 y

\frac{( x ^{2} - 16 )}{x - 4}

[110]

w^{3} - 8 t^{3} n^{6}

What is factor 7(r-2s)^5-rx+2sx ?
The solution to factor 7(r-2s)^5-rx+2sx is (r-2s)(7(r-2s)^4-x)