What is (3ax+6ay-2x-4y)/(x^2+xy-2y^2) ?

The solution to (3ax+6ay-2x-4y)/(x^2+xy-2y^2) is (3a-2)/(x-y)

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simplify (3ax+6ay-2x-4y)/(x^2+xy-2y^2)

simplify

\frac{3 a x + 6 a y - 2 x - 4 y}{x ^{2} + x y - 2 y ^{2}}

\frac{3 a - 2}{x - y}

Solution steps

\frac{3 a x + 6 a y - 2 x - 4 y}{x ^{2} + x y - 2 y ^{2}}

Factor

3 a x + 6 a y - 2 x - 4 y : (x + 2 y) (3 a - 2)

= \frac{( x + 2 y ) ( 3 a - 2 )}{x ^{2} + x y - 2 y ^{2}}

Factor

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

= \frac{( x + 2 y ) ( 3 a - 2 )}{( x - y ) ( x + 2 y )}

Cancel the common factor:

x + 2 y

= \frac{3 a - 2}{x - y}

(x + 4 y)^{4}

- \frac{sin ( x )}{cos ( x )}

(a - 4 b) (3 a + 2 b)

(2^{\frac{1}{2}} 221) (3^{\frac{1}{3}} 331) (4^{\frac{1}{6}} 461)

(1 + cot^{2} (x)) (1 - sin^{2} (x))

What is (3ax+6ay-2x-4y)/(x^2+xy-2y^2) ?
The solution to (3ax+6ay-2x-4y)/(x^2+xy-2y^2) is (3a-2)/(x-y)