What is expand 8(m+n)^3-1000 ?

The solution to expand 8(m+n)^3-1000 is 8m^3+24m^2n+24mn^2+8n^3-1000

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expand 8(m+n)^3-1000

expand

8 (m + n)^{3} - 1000

8 m^{3} + 24 m^{2} n + 24 m n^{2} + 8 n^{3} - 1000

Solution steps

8 (m + n)^{3} - 1000

Expand

(m + n)^{3} : m^{3} + 3 m^{2} n + 3 m n^{2} + n^{3}

= 8 (m^{3} + 3 m^{2} n + 3 m n^{2} + n^{3}) - 1000

Distribute parentheses

= 8 m^{3} + 8 \cdot 3 m^{2} n + 8 \cdot 3 m n^{2} + 8 n^{3} - 1000

Simplify

8 m^{3} + 8 \cdot 3 m^{2} n + 8 \cdot 3 m n^{2} + 8 n^{3} : 8 m^{3} + 24 m^{2} n + 24 m n^{2} + 8 n^{3}

= 8 m^{3} + 24 m^{2} n + 24 m n^{2} + 8 n^{3} - 1000

(\frac{( 16 x ^{a} )}{( 64 x ^{3} )})^{3}

\frac{1}{( d + 2 ) ( d + 1 ) ( e ^{e} ) ^{x}}

\frac{( ( a ^{2} \cdot b ) ^{3} )}{( ( a \cdot b ^{2} ) ^{2} )}

x^{8} + x^{4} y^{4} + y^{8}

(- 6.7 + 2 z) (- 1.5)

What is expand 8(m+n)^3-1000 ?
The solution to expand 8(m+n)^3-1000 is 8m^3+24m^2n+24mn^2+8n^3-1000