What is factor 6(4-x)^2+(4-x)-2 ?

The solution to factor 6(4-x)^2+(4-x)-2 is (-2x+7)(-3x+14)

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factor 6(4-x)^2+(4-x)-2

factor

6 (4 - x)^{2} + (4 - x) - 2

(- 2 x + 7) (- 3 x + 14)

Solution steps

6 (4 - x)^{2} + (4 - x) - 2

Break the expression into groups

= (6 (4 - x)^{2} - 3 (4 - x)) + (4 (4 - x) - 2)

Factor out

3 (4 - x)

from

6 (4 - x)^{2} - 3 (4 - x) : 3 (4 - x) (2 (4 - x) - 1)

Factor out

2

from

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

= 3 (4 - x) (2 (4 - x) - 1) + 2 (2 (4 - x) - 1)

Factor out common term

2 (4 - x) - 1

= (2 (4 - x) - 1) (3 (4 - x) + 2)

Expand

2 (4 - x) - 1 : - 2 x + 7

= (- 2 x + 7) (3 (- x + 4) + 2)

Expand

3 (4 - x) + 2 : - 3 x + 14

= (- 2 x + 7) (- 3 x + 14)

y (3 x)

3^{k} - 1 + 2 (3^{k + 1 - 1})

5 x^{2} + 16 x + 12.8

3^{x} + 3^{x}

a^{2} x - a^{2} y + x - y

What is factor 6(4-x)^2+(4-x)-2 ?
The solution to factor 6(4-x)^2+(4-x)-2 is (-2x+7)(-3x+14)