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

The solution to factor (x-1)(x+2)^2-(x-1)^2(x+2) is 3(x-1)(x+2)

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

factor

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

3 (x - 1) (x + 2)

Solution steps

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

Factor out common term

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

= (x - 1) (x + 2) (x + 2 - (x - 1))

Expand

x + 2 - (x - 1) : 3

= (x - 1) (x + 2) \cdot 3

= 3 (x - 1) (x + 2)

6 y^{- 4}

(e^{x} - 2) (e^{x} - 3) \leq 2 e^{x}

\frac{11 x}{5} - \frac{4}{5} = \frac{1}{5}

f = 4 (0) + 3

\frac{3}{10}

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