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

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

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expand (3z-2y)^3

expand

(3 z - 2 y)^{3}

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

Solution steps

(3 z - 2 y)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

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

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

\frac{1 + 1}{( x + 2 ) ^{2}}

\frac{( 1 - cos ( 2 x ) )}{x}

4 a^{2} - 4 a \cdot b^{2} + b^{4}

(a^{2} + 5 a + 2) (0.5 a)

\frac{( 8 x ^{3} y ^{- 4} )}{( 2 x ^{5} y ^{2} )}

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