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Popular >

expand (2x-4)^3

Solution

expand

(2 x - 4)^{3}

Solution

8 x^{3} - 48 x^{2} + 96 x - 64

Solution steps

(2 x - 4)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

(2 x)^{3} - 3 (2 x)^{2} \cdot 4 + 3 \cdot 2 x \cdot 4^{2} - 4^{3} : 8 x^{3} - 48 x^{2} + 96 x - 64

= 8 x^{3} - 48 x^{2} + 96 x - 64

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Frequently Asked Questions (FAQ)

What is expand (2x-4)^3 ?
The solution to expand (2x-4)^3 is 8x^3-48x^2+96x-64