What is factor 2ax-ab-a^2+2bx ?

The solution to factor 2ax-ab-a^2+2bx is (a+b)(2x-a)

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factor 2ax-ab-a^2+2bx

factor

2 a x - ab - a^{2} + 2 b x

(a + b) (2 x - a)

Solution steps

2 a x - ab - a^{2} + 2 b x

Factor out common term

2 x

= 2 x (a + b) - ab - a^{2}

Apply exponent rule:

a^{b + c} = a^{b} a^{c}

a^{2} = aa

= 2 x (a + b) - ab - aa

Factor out common term

a

= 2 x (a + b) - a (b + a)

Factor out common term

(a + b)

= (a + b) (2 x - a)

11 x^{2} + 8 x - 3 = 0

x^{2} + 10 x = 0

- 6 g + 36 = 12

x^{2} - 5 x + 5 = 0

8 x^{2} - 3 x - 5

What is factor 2ax-ab-a^2+2bx ?
The solution to factor 2ax-ab-a^2+2bx is (a+b)(2x-a)