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Popular >

expand (2-t)^3

Solution

expand

(2 - t)^{3}

Solution

8 - 12 t + 6 t^{2} - t^{3}

Solution steps

(2 - t)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

2^{3} - 3 \cdot 2^{2} t + 3 \cdot 2 t^{2} - t^{3} : 8 - 12 t + 6 t^{2} - t^{3}

= 8 - 12 t + 6 t^{2} - t^{3}

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Frequently Asked Questions (FAQ)

What is expand (2-t)^3 ?
The solution to expand (2-t)^3 is 8-12t+6t^2-t^3