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

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

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

factor

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

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

Solution steps

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

Break the expression into groups

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

Factor out

2 x

from

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

Factor out

y

from

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

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

Factor out common term

5 x - y

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

9 x^{2} - 24 x = 1

5 x^{2} + 9 = 0

2 r^{3} + 14 r^{2} - 36 r

\frac{15}{3 6}

9 - x < - 11

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