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Popular >

expand (4-3a)^3

Solution

expand

(4 - 3 a)^{3}

Solution

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

Solution steps

(4 - 3 a)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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