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Popular >

expand (x-4)^3

Solution

expand

(x - 4)^{3}

Solution

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

Solution steps

(x - 4)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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