What is expand (a-2b)^3-a+2b ?

The solution to expand (a-2b)^3-a+2b is a^3-6a^2b+12ab^2-8b^3-a+2b

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expand (a-2b)^3-a+2b

expand

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

a^{3} - 6 a^{2} b + 12 a b^{2} - 8 b^{3} - a + 2 b

Solution steps

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

Apply Perfect Cube Formula:

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

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

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

Simplify

a^{3} - 3 a^{2} \cdot 2 b + 3 a (2 b)^{2} - (2 b)^{3} : a^{3} - 6 a^{2} b + 12 a b^{2} - 8 b^{3}

= a^{3} - 6 a^{2} b + 12 a b^{2} - 8 b^{3} - a + 2 b

\frac{5}{( 3 x )} + \frac{1}{( 4 x )}

p (1) t

3 x^{4} y^{3} - 48 y^{3}

3 x^{2} + 3 y^{2}

(14 x^{2})^{- 2}

What is expand (a-2b)^3-a+2b ?
The solution to expand (a-2b)^3-a+2b is a^3-6a^2b+12ab^2-8b^3-a+2b