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

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

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factor (x-1)(x+4)^2-(x-1)^2(x+4)

factor

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

5 (x - 1) (x + 4)

Solution steps

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

Factor out common term

(x - 1) (x + 4) : (x - 1) (x + 4) (x + 4 - (x - 1))

= (x - 1) (x + 4) (x + 4 - (x - 1))

Expand

x + 4 - (x - 1) : 5

= (x - 1) (x + 4) \cdot 5

= 5 (x - 1) (x + 4)

3 \cdot (2 x - 6) - [(x - (3 x - 8) + 2) - 1] = 2 - (3 - 2 x)

(4.56 + d) - (4.56 - d) = 0.26425195

- x^{2} + x - 1 = 0

∣ 2 x + 7 ∣ < 3

(a^{5})^{2}

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