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

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

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

factor

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

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

Solution steps

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

Group by common factors

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

Break the expression into groups

= (10 x^{2} - 4 x y) + (5 x y - 2 y^{2})

Factor out

2 x

from

10 x^{2} - 4 x y : 2 x (5 x - 2 y)

Factor out

y

from

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

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

Factor out common term

5 x - 2 y

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

9 a^{2} - 36 b^{2}

(x^{- 3})^{5}

arctan (\frac{( 1 + x ^{2} + 1 )}{x})

(3 x^{2} + x)^{3}

(\frac{4 a}{5 - 2})^{3}

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