What is factor 4(x+5)^3(x-1)^2+(x+5)^4*2(x-1) ?

The solution to factor 4(x+5)^3(x-1)^2+(x+5)^4*2(x-1) is 6(x+5)^3(x-1)(x+1)

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factor 4(x+5)^3(x-1)^2+(x+5)^4*2(x-1)

factor

4 (x + 5)^{3} (x - 1)^{2} + (x + 5)^{4} \cdot 2 (x - 1)

6 (x + 5)^{3} (x - 1) (x + 1)

Solution steps

4 (x + 5)^{3} (x - 1)^{2} + (x + 5)^{4} \cdot 2 (x - 1)

Factor out common term

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

= 2 (x + 5)^{3} (x - 1) (2 (x - 1) + x + 5)

Expand

2 (x - 1) + x + 5 : 3 x + 3

= 2 (x + 5)^{3} (x - 1) (3 x + 3)

Factor

3 x + 3 : 3 (x + 1)

= 2 (x + 5)^{3} (x - 1) \cdot 3 (x + 1)

Multiply the numbers:

2 \cdot 3 = 6

= 6 (x + 5)^{3} (x - 1) (x + 1)

- (\frac{5}{2})^{4}

- \frac{1}{2} x^{2} + 6 x - \frac{27}{2}

1 + \frac{1}{2}

\frac{1}{\frac{2}{\frac{1}{2}}}

6 - x = 4

What is factor 4(x+5)^3(x-1)^2+(x+5)^4*2(x-1) ?
The solution to factor 4(x+5)^3(x-1)^2+(x+5)^4*2(x-1) is 6(x+5)^3(x-1)(x+1)