What is factor x^2-2x+5x-10 ?

The solution to factor x^2-2x+5x-10 is (x-2)(x+5)

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factor x^2-2x+5x-10

factor

x^{2} - 2 x + 5 x - 10

(x - 2) (x + 5)

Solution steps

x^{2} - 2 x + 5 x - 10

Add similar elements:

- 2 x + 5 x = 3 x

= x^{2} + 3 x - 10

Break the expression into groups

= (x^{2} - 2 x) + (5 x - 10)

Factor out

x

from

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

Factor out

5

from

5 x - 10 : 5 (x - 2)

= x (x - 2) + 5 (x - 2)

Factor out common term

x - 2

= (x - 2) (x + 5)

p - 5 < 2

27 m^{6} + 343 n^{9}

9 x < - 12 + 3 x

2 5^{- \frac{1}{3}}

x^{2} - 5 x + 12 = 2 x + 6