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Popular >

expand (3-x)^3

Solution

expand

(3 - x)^{3}

Solution

27 - 27 x + 9 x^{2} - x^{3}

Solution steps

(3 - x)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

3^{3} - 3 \cdot 3^{2} x + 3 \cdot 3 x^{2} - x^{3} : 27 - 27 x + 9 x^{2} - x^{3}

= 27 - 27 x + 9 x^{2} - x^{3}

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Frequently Asked Questions (FAQ)

What is expand (3-x)^3 ?
The solution to expand (3-x)^3 is 27-27x+9x^2-x^3