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Popular >

expand (3x^2+2)^3

Solution

expand

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

Solution

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

Solution steps

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

Apply Perfect Cube Formula:

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

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

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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