What is factor a^2+ab-2b^2 ?

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

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factor a^2+ab-2b^2

factor

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

(a - b) (a + 2 b)

Solution steps

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

Break the expression into groups

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

Factor out

a

from

a^{2} - ab : a (a - b)

Factor out

2 b

from

2 ab - 2 b^{2} : 2 b (a - b)

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

Factor out common term

a - b

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

- 4 x^{2} - 16 x + 20

x lo g_{x} (x)

75 + 227 - 48

\frac{- 1}{n - 3} + \frac{5}{n + 4}