What is factor 3x^2+7xy-6y^2 ?

The solution to factor 3x^2+7xy-6y^2 is (3x-2y)(x+3y)

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factor 3x^2+7xy-6y^2

factor

3 x^{2} + 7 x y - 6 y^{2}

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

Solution steps

3 x^{2} + 7 x y - 6 y^{2}

Break the expression into groups

= (3 x^{2} - 2 x y) + (9 x y - 6 y^{2})

Factor out

x

from

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

Factor out

3 y

from

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

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

Factor out common term

3 x - 2 y

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

5 - ∣ 2 x + 6 ∣ \leq 3

(x + 2)^{2} = 3131 - 2 x

\frac{5 x - 3}{6} + \frac{x - 5}{18} < \frac{x + 1}{3}

3 w - 15 w - 16 = - 52

3 x \geq 12

What is factor 3x^2+7xy-6y^2 ?
The solution to factor 3x^2+7xy-6y^2 is (3x-2y)(x+3y)