What is (8x^3-27y^3)/(2x-3y) ?

The solution to (8x^3-27y^3)/(2x-3y) is 4x^2+6xy+9y^2

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simplify (8x^3-27y^3)/(2x-3y)

simplify

\frac{8 x ^{3} - 27 y ^{3}}{2 x - 3 y}

4 x^{2} + 6 x y + 9 y^{2}

Solution steps

\frac{8 x ^{3} - 27 y ^{3}}{2 x - 3 y}

Factor

8 x^{3} - 27 y^{3} : (2 x - 3 y) (4 x^{2} + 6 x y + 9 y^{2})

= \frac{( 2 x - 3 y ) ( 4 x ^{2} + 6 x y + 9 y ^{2} )}{2 x - 3 y}

Cancel the common factor:

2 x - 3 y

= 4 x^{2} + 6 x y + 9 y^{2}

- x^{2} - 3 x

(\frac{1}{2 m})^{3}

\frac{a ^{2} \cdot ( a ^{4} ) ^{3}}{a ^{13}}

\frac{x ^{2} + 8 x + 12}{x ^{2} - 36}

What is (8x^3-27y^3)/(2x-3y) ?
The solution to (8x^3-27y^3)/(2x-3y) is 4x^2+6xy+9y^2