What is expand (10-2x)^3 ?

The solution to expand (10-2x)^3 is 1000-600x+120x^2-8x^3

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expand (10-2x)^3

expand

(10 - 2 x)^{3}

1000 - 600 x + 120 x^{2} - 8 x^{3}

Solution steps

(10 - 2 x)^{3}

Apply Perfect Cube Formula:

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

(10 - 2 x)^{3} = 1 0^{3} - 3 \cdot 1 0^{2} \cdot 2 x + 3 \cdot 10 (2 x)^{2} - (2 x)^{3}

= 1 0^{3} - 3 \cdot 1 0^{2} \cdot 2 x + 3 \cdot 10 (2 x)^{2} - (2 x)^{3}

Simplify

1 0^{3} - 3 \cdot 1 0^{2} \cdot 2 x + 3 \cdot 10 (2 x)^{2} - (2 x)^{3} : 1000 - 600 x + 120 x^{2} - 8 x^{3}

= 1000 - 600 x + 120 x^{2} - 8 x^{3}

729 + (x - 2)^{3}

8 n^{3} - 27 m^{3}

\frac{1}{2 \cdot 2 ^{n - 1} \cdot { 2 ( 2 ^{n} - 1 ) + ( 2 ^{n - 1} - 1 ) \cdot 2 }}

\frac{- 21 y ^{3}}{- 3 y ^{2}}

(m^{c})^{1}

What is expand (10-2x)^3 ?
The solution to expand (10-2x)^3 is 1000-600x+120x^2-8x^3