因式分解 7(r-2s)^5-rx+2sx

解答

因式分解

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

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

求解步骤

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

因式分解出通项

x

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

使用指数法则:

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)

改写为

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

因式分解出通项

(r - 2 s)

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

f a c t or [(a^{2} - 1) - a] [(a^{2} - 1) + a]

f a c t or 2 n x - 5 x + 4 n y - 10 y

f a c t or \frac{( x ^{2} - 16 )}{x - 4}

s im pl i f y [110]

f a c t or w^{3} - 8 t^{3} n^{6}