What is factor (6(x+1)^5)(x-5)^2+(x+1)^6*2(x-5) ?

The solution to factor (6(x+1)^5)(x-5)^2+(x+1)^6*2(x-5) is 4(x-5)(x+1)^5(2x-7)

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factor (6(x+1)^5)(x-5)^2+(x+1)^6*2(x-5)

factor

(6 (x + 1)^{5}) (x - 5)^{2} + (x + 1)^{6} \cdot 2 (x - 5)

4 (x - 5) (x + 1)^{5} (2 x - 7)

Solution steps

(6 (x + 1)^{5}) (x - 5)^{2} + (x + 1)^{6} \cdot 2 (x - 5)

Factor out common term

(x - 5) : (x - 5) (6 (x + 1)^{5} (x - 5) + (x + 1)^{6} \cdot 2)

= (x - 5) (6 (x + 1)^{5} (x - 5) + (x + 1)^{6} \cdot 2)

Factor

6 (x + 1)^{5} (x - 5) + (x + 1)^{6} \cdot 2 : 4 (x + 1)^{5} (2 x - 7)

= (x - 5) \cdot 4 (x + 1)^{5} (2 x - 7)

= 4 (x - 5) (x + 1)^{5} (2 x - 7)

\frac{3 x ^{7} y}{27 x ^{7} y ^{7}}

\frac{303}{5} = \frac{5 x}{5}

2.5 (6.25 x + 0.5) = 11

2 x^{2} < 5 x + 12

- \frac{7}{8} t < - 14

What is factor (6(x+1)^5)(x-5)^2+(x+1)^6*2(x-5) ?
The solution to factor (6(x+1)^5)(x-5)^2+(x+1)^6*2(x-5) is 4(x-5)(x+1)^5(2x-7)