What is factor 2x^2+7xy-15y^2 ?

The solution to factor 2x^2+7xy-15y^2 is (2x-3y)(x+5y)

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factor 2x^2+7xy-15y^2

factor

2 x^{2} + 7 x y - 15 y^{2}

(2 x - 3 y) (x + 5 y)

Solution steps

2 x^{2} + 7 x y - 15 y^{2}

Break the expression into groups

= (2 x^{2} - 3 x y) + (10 x y - 15 y^{2})

Factor out

x

from

2 x^{2} - 3 x y : x (2 x - 3 y)

Factor out

5 y

from

10 x y - 15 y^{2} : 5 y (2 x - 3 y)

= x (2 x - 3 y) + 5 y (2 x - 3 y)

Factor out common term

2 x - 3 y

= (2 x - 3 y) (x + 5 y)

(2 b^{4})^{- 1}

(\frac{2}{3})^{- 2} \cdot (\frac{3}{2})^{- 3}

x^{2} - 4 x - 14 = 0

x = \frac{4 ( - 7 )}{( - 7 ) - 3}

m^{2} - m - 2 = 0

What is factor 2x^2+7xy-15y^2 ?
The solution to factor 2x^2+7xy-15y^2 is (2x-3y)(x+5y)