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Popular Calculus >

expand x(4-x)^3

Solution

expand

x (4 - x)^{3}

Solution

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

Solution steps

x (4 - x)^{3}

Expand

(4 - x)^{3} : 64 - 48 x + 12 x^{2} - x^{3}

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

Distribute parentheses

= x \cdot 64 + x (- 48 x) + x \cdot 12 x^{2} + x (- x^{3})

Simplify

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

= 64 x - 48 x^{2} + 12 x^{3} - x^{4}

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Frequently Asked Questions (FAQ)

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