What is expand (5x-2y)^3 ?

The solution to expand (5x-2y)^3 is 125x^3-150x^2y+60xy^2-8y^3

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expand (5x-2y)^3

expand

(5 x - 2 y)^{3}

125 x^{3} - 150 x^{2} y + 60 x y^{2} - 8 y^{3}

Solution steps

(5 x - 2 y)^{3}

Apply Perfect Cube Formula:

(a - b)^{3} = a^{3} - 3 a^{2} b + 3 a b^{2} - b^{3}

(5 x - 2 y)^{3} = (5 x)^{3} - 3 (5 x)^{2} \cdot 2 y + 3 \cdot 5 x (2 y)^{2} - (2 y)^{3}

= (5 x)^{3} - 3 (5 x)^{2} \cdot 2 y + 3 \cdot 5 x (2 y)^{2} - (2 y)^{3}

Simplify

(5 x)^{3} - 3 (5 x)^{2} \cdot 2 y + 3 \cdot 5 x (2 y)^{2} - (2 y)^{3} : 125 x^{3} - 150 x^{2} y + 60 x y^{2} - 8 y^{3}

= 125 x^{3} - 150 x^{2} y + 60 x y^{2} - 8 y^{3}

\frac{3}{4} - \frac{3}{2}

\frac{1}{20}

\frac{m + 5 n}{12 m} - \frac{m - n}{12 m}

\frac{63}{4}

\frac{2 x ^{- \frac{7}{4}}}{4 x ^{\frac{4}{3}}}

What is expand (5x-2y)^3 ?
The solution to expand (5x-2y)^3 is 125x^3-150x^2y+60xy^2-8y^3