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

The solution to expand (2n-5x)^3 is 8n^3-60xn^2+150nx^2-125x^3

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expand (2n-5x)^3

expand

(2 n - 5 x)^{3}

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

Solution steps

(2 n - 5 x)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

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

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

(8 - 7 i) (6 + 6 i)

\frac{2}{5} \cdot 25

\frac{4}{3 2 + 1}

(- 3 + h)^{2}

- 10 (a - 5)

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