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Popular >

expand (2t-3)^3

Solution

expand

(2 t - 3)^{3}

Solution

8 t^{3} - 36 t^{2} + 54 t - 27

Solution steps

(2 t - 3)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

(2 t)^{3} - 3 (2 t)^{2} \cdot 3 + 3 \cdot 2 t \cdot 3^{2} - 3^{3} : 8 t^{3} - 36 t^{2} + 54 t - 27

= 8 t^{3} - 36 t^{2} + 54 t - 27

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Frequently Asked Questions (FAQ)

What is expand (2t-3)^3 ?
The solution to expand (2t-3)^3 is 8t^3-36t^2+54t-27