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Popular >

expand x^4(x-3)^3

Solution

expand

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

Solution

x^{7} - 9 x^{6} + 27 x^{5} - 27 x^{4}

Solution steps

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

Expand

(x - 3)^{3} : x^{3} - 9 x^{2} + 27 x - 27

= x^{4} (x^{3} - 9 x^{2} + 27 x - 27)

Distribute parentheses

= x^{4} x^{3} + x^{4} (- 9 x^{2}) + x^{4} \cdot 27 x + x^{4} (- 27)

Simplify

x^{4} x^{3} + x^{4} (- 9 x^{2}) + x^{4} \cdot 27 x + x^{4} (- 27) : x^{7} - 9 x^{6} + 27 x^{5} - 27 x^{4}

= x^{7} - 9 x^{6} + 27 x^{5} - 27 x^{4}

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Frequently Asked Questions (FAQ)

What is expand x^4(x-3)^3 ?
The solution to expand x^4(x-3)^3 is x^7-9x^6+27x^5-27x^4