What is factor 2u^2+5uv-12v^2 ?

The solution to factor 2u^2+5uv-12v^2 is (2u-3v)(u+4v)

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factor 2u^2+5uv-12v^2

factor

2 u^{2} + 5 uv - 12 v^{2}

(2 u - 3 v) (u + 4 v)

Solution steps

2 u^{2} + 5 uv - 12 v^{2}

Break the expression into groups

= (2 u^{2} - 3 uv) + (8 uv - 12 v^{2})

Factor out

u

from

2 u^{2} - 3 uv : u (2 u - 3 v)

Factor out

4 v

from

8 uv - 12 v^{2} : 4 v (2 u - 3 v)

= u (2 u - 3 v) + 4 v (2 u - 3 v)

Factor out common term

2 u - 3 v

= (2 u - 3 v) (u + 4 v)

6 b^{3} - 7 b^{2}

- \frac{\frac{11}{2}}{( - 2 )}

16 x^{2} - 169

- 18 x + 21 > - 15 or 20 x - 13 \geq 27

84

What is factor 2u^2+5uv-12v^2 ?
The solution to factor 2u^2+5uv-12v^2 is (2u-3v)(u+4v)