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

The solution to expand (x^2-5y)^3 is x^6-15x^4y+75x^2y^2-125y^3

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expand (x^2-5y)^3

expand

(x^{2} - 5 y)^{3}

x^{6} - 15 x^{4} y + 75 x^{2} y^{2} - 125 y^{3}

Solution steps

(x^{2} - 5 y)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

(x^{2})^{3} - 3 (x^{2})^{2} \cdot 5 y + 3 x^{2} (5 y)^{2} - (5 y)^{3} : x^{6} - 15 x^{4} y + 75 x^{2} y^{2} - 125 y^{3}

= x^{6} - 15 x^{4} y + 75 x^{2} y^{2} - 125 y^{3}

\frac{( 15 a - 12 b )}{( 6 a - 9 b )}

4 - 22 a^{2} + 121

\frac{- 2}{x ^{2}}

\frac{15 x ^{4} + 20 x ^{3}}{5 x ^{2}}

16 \cdot \frac{40}{100} + 3 x \cdot \frac{60}{100}

What is expand (x^2-5y)^3 ?
The solution to expand (x^2-5y)^3 is x^6-15x^4y+75x^2y^2-125y^3