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Popular >

expand (4-x)^3

Solution

expand

(4 - x)^{3}

Solution

64 - 48 x + 12 x^{2} - x^{3}

Solution steps

(4 - x)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

4^{3} - 3 \cdot 4^{2} x + 3 \cdot 4 x^{2} - x^{3} : 64 - 48 x + 12 x^{2} - x^{3}

= 64 - 48 x + 12 x^{2} - x^{3}

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Frequently Asked Questions (FAQ)

What is expand (4-x)^3 ?
The solution to expand (4-x)^3 is 64-48x+12x^2-x^3