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Popular >

expand (2+3z^2)^3

Solution

expand

(2 + 3 z^{2})^{3}

Solution

8 + 36 z^{2} + 54 z^{4} + 27 z^{6}

Solution steps

(2 + 3 z^{2})^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

2^{3} + 3 \cdot 2^{2} \cdot 3 z^{2} + 3 \cdot 2 (3 z^{2})^{2} + (3 z^{2})^{3} : 8 + 36 z^{2} + 54 z^{4} + 27 z^{6}

= 8 + 36 z^{2} + 54 z^{4} + 27 z^{6}

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Frequently Asked Questions (FAQ)

What is expand (2+3z^2)^3 ?
The solution to expand (2+3z^2)^3 is 8+36z^2+54z^4+27z^6