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Popular >

expand x^4(x-4)^3

Solution

expand

x^{4} (x - 4)^{3}

Solution

x^{7} - 12 x^{6} + 48 x^{5} - 64 x^{4}

Solution steps

x^{4} (x - 4)^{3}

Expand

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

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

Distribute parentheses

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

Simplify

x^{4} x^{3} + x^{4} (- 12 x^{2}) + x^{4} \cdot 48 x + x^{4} (- 64) : x^{7} - 12 x^{6} + 48 x^{5} - 64 x^{4}

= x^{7} - 12 x^{6} + 48 x^{5} - 64 x^{4}

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Frequently Asked Questions (FAQ)

What is expand x^4(x-4)^3 ?
The solution to expand x^4(x-4)^3 is x^7-12x^6+48x^5-64x^4