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Popular >

expand x(x+3)^3

Solution

expand

x (x + 3)^{3}

Solution

x^{4} + 9 x^{3} + 27 x^{2} + 27 x

Solution steps

x (x + 3)^{3}

Expand

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

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

Distribute parentheses

= x x^{3} + x \cdot 9 x^{2} + x \cdot 27 x + x \cdot 27

Simplify

x x^{3} + x \cdot 9 x^{2} + x \cdot 27 x + x \cdot 27 : x^{4} + 9 x^{3} + 27 x^{2} + 27 x

= x^{4} + 9 x^{3} + 27 x^{2} + 27 x

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Frequently Asked Questions (FAQ)

What is expand x(x+3)^3 ?
The solution to expand x(x+3)^3 is x^4+9x^3+27x^2+27x