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Popular >

expand (t^3+1)^3

Solution

expand

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

Solution

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

Solution steps

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

Apply Perfect Cube Formula:

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

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

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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