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Popular >

expand (1+a^3)^3

Solution

expand

(1 + a^{3})^{3}

Solution

1 + 3 a^{3} + 3 a^{6} + a^{9}

Solution steps

(1 + a^{3})^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

1^{3} + 3 \cdot 1^{2} a^{3} + 3 \cdot 1 \cdot (a^{3})^{2} + (a^{3})^{3} : 1 + 3 a^{3} + 3 a^{6} + a^{9}

= 1 + 3 a^{3} + 3 a^{6} + a^{9}

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Frequently Asked Questions (FAQ)

What is expand (1+a^3)^3 ?
The solution to expand (1+a^3)^3 is 1+3a^3+3a^6+a^9