What is factor 6x^2+17xy-14y^2 ?

The solution to factor 6x^2+17xy-14y^2 is (3x-2y)(2x+7y)

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factor 6x^2+17xy-14y^2

factor

6 x^{2} + 17 x y - 14 y^{2}

(3 x - 2 y) (2 x + 7 y)

Solution steps

6 x^{2} + 17 x y - 14 y^{2}

Break the expression into groups

= (6 x^{2} - 4 x y) + (21 x y - 14 y^{2})

Factor out

2 x

from

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

Factor out

7 y

from

21 x y - 14 y^{2} : 7 y (3 x - 2 y)

= 2 x (3 x - 2 y) + 7 y (3 x - 2 y)

Factor out common term

3 x - 2 y

= (3 x - 2 y) (2 x + 7 y)

(3 a^{2} \cdot b^{- 3})^{3} \cdot x \cdot (2 a^{4})^{- 3}

(- 0.5 z + 0.5) (- 4)

(3 q + 2 p)^{3}

7 x + 7 b

l^{- 1} \cdot {\frac{1}{( s ^{2} + a ^{2} )}}

What is factor 6x^2+17xy-14y^2 ?
The solution to factor 6x^2+17xy-14y^2 is (3x-2y)(2x+7y)