What is factor 2a+ac^2-a^2c-2c ?

The solution to factor 2a+ac^2-a^2c-2c is (c-a)(ac-2)

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factor 2a+ac^2-a^2c-2c

factor

2 a + a c^{2} - a^{2} c - 2 c

(c - a) (a c - 2)

Solution steps

2 a + a c^{2} - a^{2} c - 2 c

Group by common factors

= - a^{2} c + a c^{2} + 2 a - 2 c

= (a c^{2} - a^{2} c) + (2 a - 2 c)

Factor out

a c

from

a c^{2} - a^{2} c : a c (c - a)

Factor out

2

from

2 a - 2 c : 2 (a - c)

= a c (c - a) + 2 (a - c)

2 (a - c) = - 2 (c - a)

= a c (c - a) - 2 (c - a)

Factor out common term

c - a

= (c - a) (a c - 2)

x = (15.7 - 10.7)^{2} + (8.13 - 6.17)^{2}

\frac{1}{3} \cdot 8

x^{3} + 6 x^{2} - x - 30

40 a^{5} b

What is factor 2a+ac^2-a^2c-2c ?
The solution to factor 2a+ac^2-a^2c-2c is (c-a)(ac-2)