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Popular >

expand (5t-1)^3

Solution

expand

(5 t - 1)^{3}

Solution

125 t^{3} - 75 t^{2} + 15 t - 1

Solution steps

(5 t - 1)^{3}

Apply Perfect Cube Formula:

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

(5 t - 1)^{3} = (5 t)^{3} - 3 (5 t)^{2} \cdot 1 + 3 \cdot 5 t \cdot 1^{2} - 1^{3}

= (5 t)^{3} - 3 (5 t)^{2} \cdot 1 + 3 \cdot 5 t \cdot 1^{2} - 1^{3}

Simplify

(5 t)^{3} - 3 (5 t)^{2} \cdot 1 + 3 \cdot 5 t \cdot 1^{2} - 1^{3} : 125 t^{3} - 75 t^{2} + 15 t - 1

= 125 t^{3} - 75 t^{2} + 15 t - 1

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Frequently Asked Questions (FAQ)

What is expand (5t-1)^3 ?
The solution to expand (5t-1)^3 is 125t^3-75t^2+15t-1