What is factor 4x^2+17xy-15y^2 ?

The solution to factor 4x^2+17xy-15y^2 is (4x-3y)(x+5y)

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factor 4x^2+17xy-15y^2

factor

4 x^{2} + 17 x y - 15 y^{2}

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

Solution steps

4 x^{2} + 17 x y - 15 y^{2}

Break the expression into groups

= (4 x^{2} - 3 x y) + (20 x y - 15 y^{2})

Factor out

x

from

4 x^{2} - 3 x y : x (4 x - 3 y)

Factor out

5 y

from

20 x y - 15 y^{2} : 5 y (4 x - 3 y)

= x (4 x - 3 y) + 5 y (4 x - 3 y)

Factor out common term

4 x - 3 y

= (4 x - 3 y) (x + 5 y)

x (x + 4) = - 13

5 x + 2 = 32

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

x^{2} + 6 x - 1 > 6

125 - m^{3}

What is factor 4x^2+17xy-15y^2 ?
The solution to factor 4x^2+17xy-15y^2 is (4x-3y)(x+5y)