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Popular >

expand (t-3)^3

Solution

expand

(t - 3)^{3}

Solution

t^{3} - 9 t^{2} + 27 t - 27

Solution steps

(t - 3)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

t^{3} - 3 t^{2} \cdot 3 + 3 t \cdot 3^{2} - 3^{3} : t^{3} - 9 t^{2} + 27 t - 27

= t^{3} - 9 t^{2} + 27 t - 27

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Frequently Asked Questions (FAQ)

What is expand (t-3)^3 ?
The solution to expand (t-3)^3 is t^3-9t^2+27t-27