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Popular Calculus >

expand 2(x-6)^3

Solution

expand

2 (x - 6)^{3}

Solution

2 x^{3} - 36 x^{2} + 216 x - 432

Solution steps

2 (x - 6)^{3}

Expand

(x - 6)^{3} : x^{3} - 18 x^{2} + 108 x - 216

= 2 (x^{3} - 18 x^{2} + 108 x - 216)

Distribute parentheses

= 2 x^{3} + 2 (- 18 x^{2}) + 2 \cdot 108 x + 2 (- 216)

Simplify

2 x^{3} + 2 (- 18 x^{2}) + 2 \cdot 108 x + 2 (- 216) : 2 x^{3} - 36 x^{2} + 216 x - 432

= 2 x^{3} - 36 x^{2} + 216 x - 432

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Frequently Asked Questions (FAQ)

What is expand 2(x-6)^3 ?
The solution to expand 2(x-6)^3 is 2x^3-36x^2+216x-432