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Popular >

expand (3-3x)^3

Solution

expand

(3 - 3 x)^{3}

Solution

27 - 81 x + 81 x^{2} - 27 x^{3}

Solution steps

(3 - 3 x)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

3^{3} - 3 \cdot 3^{2} \cdot 3 x + 3 \cdot 3 (3 x)^{2} - (3 x)^{3} : 27 - 81 x + 81 x^{2} - 27 x^{3}

= 27 - 81 x + 81 x^{2} - 27 x^{3}

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Frequently Asked Questions (FAQ)

What is expand (3-3x)^3 ?
The solution to expand (3-3x)^3 is 27-81x+81x^2-27x^3