What is factor 2x^2+5xy-3y^2 ?

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

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factor 2x^2+5xy-3y^2

factor

2 x^{2} + 5 x y - 3 y^{2}

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

Solution steps

2 x^{2} + 5 x y - 3 y^{2}

Break the expression into groups

= (2 x^{2} - x y) + (6 x y - 3 y^{2})

Factor out

x

from

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

Factor out

3 y

from

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

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

Factor out common term

2 x - y

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

1 \frac{1}{2} \times 5

1 \frac{1}{2} \times 4

\frac{1}{3} \times \frac{4}{5}

0.5 \times 0.5 \times 0.5

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