What is factor 8x^2+14xy-15y^2 ?

The solution to factor 8x^2+14xy-15y^2 is (4x-3y)(2x+5y)

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factor 8x^2+14xy-15y^2

factor

8 x^{2} + 14 x y - 15 y^{2}

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

Solution steps

8 x^{2} + 14 x y - 15 y^{2}

Break the expression into groups

= (8 x^{2} - 6 x y) + (20 x y - 15 y^{2})

Factor out

2 x

from

8 x^{2} - 6 x y : 2 x (4 x - 3 y)

Factor out

5 y

from

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

= 2 x (4 x - 3 y) + 5 y (4 x - 3 y)

Factor out common term

4 x - 3 y

= (4 x - 3 y) (2 x + 5 y)

- x^{2} + x + 2 = 0

\frac{7}{8} - \frac{3}{4} \cdot \frac{1}{4}

x^{2} - 10 x = 7

22 x^{2} + 66 x - 220

9 - x \geq 4

What is factor 8x^2+14xy-15y^2 ?
The solution to factor 8x^2+14xy-15y^2 is (4x-3y)(2x+5y)