What is factor y^2+yx-6x^2 ?

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

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factor y^2+yx-6x^2

factor

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

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

Solution steps

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

Break the expression into groups

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

Factor out

y

from

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

Factor out

3 x

from

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

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

Factor out common term

y - 2 x

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

9 x^{2} + 100 = 0

2 m^{2} + 3 = m

3 (x + 1) - 2 x = x + 3

e^{- 3 x} \leq 0.5

c^{2} - 8 c + 12