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

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

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factor (2-x)^2+3(2-x)-4

factor

(2 - x)^{2} + 3 (2 - x) - 4

(- x + 1) (- x + 6)

Solution steps

(2 - x)^{2} + 3 (2 - x) - 4

Break the expression into groups

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

Factor out

(2 - x)

from

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

Factor out

4

from

4 (2 - x) - 4 : 4 ((2 - x) - 1)

= (2 - x) ((2 - x) - 1) + 4 ((2 - x) - 1)

Factor out common term

(2 - x) - 1

= ((2 - x) - 1) ((2 - x) + 4)

Refine

= (- x + 1) (- x + 6)

Factor

(- x + 1) (- x + 6) : (x - 1) (x - 6)

= (- x + 1) (- x + 6)

\frac{y}{2 x y + y ^{2}}

(a - 3)^{2} (a + 3) (a + 3)

12 s x - 9 x t - 8 sy + 6 t y

3 x (10 - 3 x)^{'} + 3 x

2 (e^{2 x} \cdot u)

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