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Popular >

expand (4-3x)^3

Solution

expand

(4 - 3 x)^{3}

Solution

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

Solution steps

(4 - 3 x)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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