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Popular >

expand (2a+x)^3

Solution

expand

(2 a + x)^{3}

Solution

8 a^{3} + 12 x a^{2} + 6 a x^{2} + x^{3}

Solution steps

(2 a + x)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

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

= 8 a^{3} + 12 x a^{2} + 6 a x^{2} + x^{3}

Popular Examples

expand (3x-y)^3 expand

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simplify 35/5 simplify

\frac{35}{5}

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simplify-2+0 simplify

- 2 + 0

Frequently Asked Questions (FAQ)

What is expand (2a+x)^3 ?
The solution to expand (2a+x)^3 is 8a^3+12xa^2+6ax^2+x^3