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

The solution to expand (3y-2x)^3 is 27y^3-54y^2x+36yx^2-8x^3

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expand (3y-2x)^3

expand

(3 y - 2 x)^{3}

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

Solution steps

(3 y - 2 x)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

(3 y)^{3} - 3 (3 y)^{2} \cdot 2 x + 3 \cdot 3 y (2 x)^{2} - (2 x)^{3} : 27 y^{3} - 54 y^{2} x + 36 y x^{2} - 8 x^{3}

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

(\frac{k ^{4} - 1}{k})^{2}

(2 x + 6 y)^{3}

3 x^{2} y^{4} z x^{3} y - 3 z^{2}

∣ a + b ∣^{2}

5 x (x - 3) - x + 3

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