What is expand (x-2y)^3+1 ?

The solution to expand (x-2y)^3+1 is x^3-6x^2y+12xy^2-8y^3+1

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expand (x-2y)^3+1

expand

(x - 2 y)^{3} + 1

x^{3} - 6 x^{2} y + 12 x y^{2} - 8 y^{3} + 1

Solution steps

(x - 2 y)^{3} + 1

Apply Perfect Cube Formula:

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

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

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

Simplify

x^{3} - 3 x^{2} \cdot 2 y + 3 x (2 y)^{2} - (2 y)^{3} : x^{3} - 6 x^{2} y + 12 x y^{2} - 8 y^{3}

= x^{3} - 6 x^{2} y + 12 x y^{2} - 8 y^{3} + 1

9 c (c)

x^{3} + x^{- 3}

0.25 \frac{x ^{13}}{5} x (- \frac{5}{3}) + 3 x (\frac{\frac{21}{2}}{\frac{1}{2}})

\frac{60}{( x ^{2} )} \cdot (2 x^{3} - 27)

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

What is expand (x-2y)^3+1 ?
The solution to expand (x-2y)^3+1 is x^3-6x^2y+12xy^2-8y^3+1