What is (8x^3+y^3)/(2x+y) ?

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

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simplify (8x^3+y^3)/(2x+y)

simplify

\frac{8 x ^{3} + y ^{3}}{2 x + y}

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

Solution steps

\frac{8 x ^{3} + y ^{3}}{2 x + y}

Factor

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

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

Cancel the common factor:

2 x + y

= 4 x^{2} - 2 x y + y^{2}

\frac{3}{5} \cdot \frac{7}{9}

\frac{( 1 + x ) ^{3} - 1}{x}

3 k + 9 - k - 17

(5 x^{2} - 9 x - 10) - (- 6 x^{2} + 6 x)

5 (x + 5)