What is (2x^2-xy-6y^2)/(3x^2-5xy-2y^2) ?

The solution to (2x^2-xy-6y^2)/(3x^2-5xy-2y^2) is (2x+3y)/(3x+y)

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simplify (2x^2-xy-6y^2)/(3x^2-5xy-2y^2)

simplify

\frac{2 x ^{2} - x y - 6 y ^{2}}{3 x ^{2} - 5 x y - 2 y ^{2}}

\frac{2 x + 3 y}{3 x + y}

Solution steps

\frac{2 x ^{2} - x y - 6 y ^{2}}{3 x ^{2} - 5 x y - 2 y ^{2}}

Factor

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

= \frac{( 2 x + 3 y ) ( x - 2 y )}{3 x ^{2} - 5 x y - 2 y ^{2}}

Factor

3 x^{2} - 5 x y - 2 y^{2} : (3 x + y) (x - 2 y)

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

Cancel the common factor:

x - 2 y

= \frac{2 x + 3 y}{3 x + y}

8 \times (- 2)

\frac{45}{7}

ab + b

lo g_{2} (7^{2} \cdot 4^{7})

- (\frac{1}{4})^{3}

What is (2x^2-xy-6y^2)/(3x^2-5xy-2y^2) ?
The solution to (2x^2-xy-6y^2)/(3x^2-5xy-2y^2) is (2x+3y)/(3x+y)