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

The solution to expand (x-2y+3)^3 is x^3-6x^2y+9x^2+12xy^2-36xy+27x-8y^3+36y^2-54y+27

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expand (x-2y+3)^3

expand

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

x^{3} - 6 x^{2} y + 9 x^{2} + 12 x y^{2} - 36 x y + 27 x - 8 y^{3} + 36 y^{2} - 54 y + 27

Solution steps

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

Simplify

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

= (x - 2 y + 3) (x - 2 y + 3) (x - 2 y + 3)

Expand

(x - 2 y + 3) (x - 2 y + 3) : x^{2} - 4 x y + 6 x + 4 y^{2} - 12 y + 9

= (x^{2} - 4 x y + 6 x + 4 y^{2} - 12 y + 9) (x - 2 y + 3)

Distribute parentheses

= x^{2} x + x^{2} (- 2 y) + x^{2} \cdot 3 - 4 x y x - 4 x y (- 2 y) - 4 x y \cdot 3 + 6 xx + 6 x (- 2 y) + 6 x \cdot 3 + 4 y^{2} x + 4 y^{2} (- 2 y) + 4 y^{2} \cdot 3 - 12 y x - 12 y (- 2 y) - 12 y \cdot 3 + 9 x + 9 (- 2 y) + 9 \cdot 3

Simplify

x^{2} x + x^{2} (- 2 y) + x^{2} \cdot 3 - 4 x y x - 4 x y (- 2 y) - 4 x y \cdot 3 + 6 xx + 6 x (- 2 y) + 6 x \cdot 3 + 4 y^{2} x + 4 y^{2} (- 2 y) + 4 y^{2} \cdot 3 - 12 y x - 12 y (- 2 y) - 12 y \cdot 3 + 9 x + 9 (- 2 y) + 9 \cdot 3 : x^{3} - 6 x^{2} y + 9 x^{2} + 12 x y^{2} - 36 x y + 27 x - 8 y^{3} + 36 y^{2} - 54 y + 27

= x^{3} - 6 x^{2} y + 9 x^{2} + 12 x y^{2} - 36 x y + 27 x - 8 y^{3} + 36 y^{2} - 54 y + 27

(w + 7) (2 w - 2 u - 3)

x (x + 4) + 2 x (x - 3) - 3 x^{2}

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

(0.1 x - 0.2 y) (0.3 x + 0.1 y)

\frac{- 3}{x \cdot ( \frac{( 1 x - 1 )}{4} )}

What is expand (x-2y+3)^3 ?
The solution to expand (x-2y+3)^3 is x^3-6x^2y+9x^2+12xy^2-36xy+27x-8y^3+36y^2-54y+27