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Popular >

expand (2x^2+1)^3

Solution

expand

(2 x^{2} + 1)^{3}

Solution

8 x^{6} + 12 x^{4} + 6 x^{2} + 1

Solution steps

(2 x^{2} + 1)^{3}

Apply Perfect Cube Formula:

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

(2 x^{2} + 1)^{3} = (2 x^{2})^{3} + 3 (2 x^{2})^{2} \cdot 1 + 3 \cdot 2 x^{2} \cdot 1^{2} + 1^{3}

= (2 x^{2})^{3} + 3 (2 x^{2})^{2} \cdot 1 + 3 \cdot 2 x^{2} \cdot 1^{2} + 1^{3}

Simplify

(2 x^{2})^{3} + 3 (2 x^{2})^{2} \cdot 1 + 3 \cdot 2 x^{2} \cdot 1^{2} + 1^{3} : 8 x^{6} + 12 x^{4} + 6 x^{2} + 1

= 8 x^{6} + 12 x^{4} + 6 x^{2} + 1

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(\frac{1}{x} + \frac{y}{3})^{3}

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Frequently Asked Questions (FAQ)

What is expand (2x^2+1)^3 ?
The solution to expand (2x^2+1)^3 is 8x^6+12x^4+6x^2+1