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Popular >

expand (3z-2)^3

Solution

expand

(3 z - 2)^{3}

Solution

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

Solution steps

(3 z - 2)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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