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Popular >

expand (1-t)^3

Solution

expand

(1 - t)^{3}

Solution

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

Solution steps

(1 - t)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

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

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

Popular Examples

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Frequently Asked Questions (FAQ)

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