What is factor x^2+3xy-10y^2 ?

The solution to factor x^2+3xy-10y^2 is (x-2y)(x+5y)

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factor x^2+3xy-10y^2

factor

x^{2} + 3 x y - 10 y^{2}

(x - 2 y) (x + 5 y)

Solution steps

x^{2} + 3 x y - 10 y^{2}

Break the expression into groups

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

Factor out

x

from

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

Factor out

5 y

from

5 x y - 10 y^{2} : 5 y (x - 2 y)

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

Factor out common term

x - 2 y

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

4 (- 6) + 8 (0) < - 8

4 (x + 1) + x = 5 (x - 1) + 9

\frac{4}{3} = \frac{8 - k}{10}

r^{2} + 16 r + 64

\frac{( 2 p ^{3} k ^{- 3} ) ^{- 5}}{10 k ^{- 6}}

What is factor x^2+3xy-10y^2 ?
The solution to factor x^2+3xy-10y^2 is (x-2y)(x+5y)