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Popular >

expand (t+1)^3

Solution

expand

(t + 1)^{3}

Solution

t^{3} + 3 t^{2} + 3 t + 1

Solution steps

(t + 1)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

t^{3} + 3 t^{2} \cdot 1 + 3 t \cdot 1^{2} + 1^{3} : t^{3} + 3 t^{2} + 3 t + 1

= t^{3} + 3 t^{2} + 3 t + 1

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Frequently Asked Questions (FAQ)

What is expand (t+1)^3 ?
The solution to expand (t+1)^3 is t^3+3t^2+3t+1