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

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

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expand (5x-y)^3

expand

(5 x - y)^{3}

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

Solution steps

(5 x - y)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

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

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

- (\frac{2}{3})^{4}

- 5 + 11

4 i^{23} + 7 i^{37}

x^{2} - 7 x + \frac{49}{4}

\frac{x ^{0} ( y ^{2} ) ^{- 3} z ^{- 5}}{x ^{5} y ^{4} z ^{7}}

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