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

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

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

simplify

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

3 x - 2 y

Solution steps

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

Factor

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

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

Cancel the common factor:

2 x + y

= 3 x - 2 y

9 \times 25

- \frac{15}{10}

- x^{2} - 2 x - 8

- x^{2} - 3 x - 4

- 2 (3 x + 2)