What is (8x^3-125y^3)/(2x-5y) ?

The solution to (8x^3-125y^3)/(2x-5y) is 4x^2+10xy+25y^2

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simplify (8x^3-125y^3)/(2x-5y)

simplify

\frac{8 x ^{3} - 125 y ^{3}}{2 x - 5 y}

4 x^{2} + 10 x y + 25 y^{2}

Solution steps

\frac{8 x ^{3} - 125 y ^{3}}{2 x - 5 y}

Factor

8 x^{3} - 125 y^{3} : (2 x - 5 y) (4 x^{2} + 10 x y + 25 y^{2})

= \frac{( 2 x - 5 y ) ( 4 x ^{2} + 10 x y + 25 y ^{2} )}{2 x - 5 y}

Cancel the common factor:

2 x - 5 y

= 4 x^{2} + 10 x y + 25 y^{2}

\frac{309}{16} \cdot \frac{4}{9} + \frac{43}{12}

\frac{3 w ^{2}}{28}

(x - 2 y)^{8}

(x - 2 y)^{7}

\frac{16}{3} - \frac{2}{3}

What is (8x^3-125y^3)/(2x-5y) ?
The solution to (8x^3-125y^3)/(2x-5y) is 4x^2+10xy+25y^2