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Popular >

expand (3v-4)^3

Solution

expand

(3 v - 4)^{3}

Solution

27 v^{3} - 108 v^{2} + 144 v - 64

Solution steps

(3 v - 4)^{3}

Apply Perfect Cube Formula:

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

(3 v - 4)^{3} = (3 v)^{3} - 3 (3 v)^{2} \cdot 4 + 3 \cdot 3 v \cdot 4^{2} - 4^{3}

= (3 v)^{3} - 3 (3 v)^{2} \cdot 4 + 3 \cdot 3 v \cdot 4^{2} - 4^{3}

Simplify

(3 v)^{3} - 3 (3 v)^{2} \cdot 4 + 3 \cdot 3 v \cdot 4^{2} - 4^{3} : 27 v^{3} - 108 v^{2} + 144 v - 64

= 27 v^{3} - 108 v^{2} + 144 v - 64

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Frequently Asked Questions (FAQ)

What is expand (3v-4)^3 ?
The solution to expand (3v-4)^3 is 27v^3-108v^2+144v-64