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Popular >

expand (3a-4)^3

Solution

expand

(3 a - 4)^{3}

Solution

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

Solution steps

(3 a - 4)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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