What is (3x^2+10xy+8y^2)/(x^2-xy-6y^2) ?

The solution to (3x^2+10xy+8y^2)/(x^2-xy-6y^2) is (3x+4y)/(x-3y)

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simplify (3x^2+10xy+8y^2)/(x^2-xy-6y^2)

simplify

\frac{3 x ^{2} + 10 x y + 8 y ^{2}}{x ^{2} - x y - 6 y ^{2}}

\frac{3 x + 4 y}{x - 3 y}

Solution steps

\frac{3 x ^{2} + 10 x y + 8 y ^{2}}{x ^{2} - x y - 6 y ^{2}}

Factor

3 x^{2} + 10 x y + 8 y^{2} : (3 x + 4 y) (x + 2 y)

= \frac{( 3 x + 4 y ) ( x + 2 y )}{x ^{2} - x y - 6 y ^{2}}

Factor

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

= \frac{( 3 x + 4 y ) ( x + 2 y )}{( x + 2 y ) ( x - 3 y )}

Cancel the common factor:

x + 2 y

= \frac{3 x + 4 y}{x - 3 y}

(- 3 s + 2 t) (4 s - t)

3 \frac{3}{7} \cdot 2

5 (x + 2) - (x + 1) (x + 4) - 6 x

\frac{4}{x + 3} - \frac{2}{x - 5}

(u^{2} - 1)^{2}

What is (3x^2+10xy+8y^2)/(x^2-xy-6y^2) ?
The solution to (3x^2+10xy+8y^2)/(x^2-xy-6y^2) is (3x+4y)/(x-3y)