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Popular >

expand x(x^2+1)^2

Solution

expand

x (x^{2} + 1)^{2}

Solution

x^{5} + 2 x^{3} + x

Solution steps

x (x^{2} + 1)^{2}

Expand

(x^{2} + 1)^{2} : x^{4} + 2 x^{2} + 1

= x (x^{4} + 2 x^{2} + 1)

Apply the distributive law:

m (a + b + c) = ma + mb + m c

x (x^{4} + 2 x^{2} + 1) = x x^{4} + x \cdot 2 x^{2} + x \cdot 1

= x x^{4} + x \cdot 2 x^{2} + x \cdot 1

Simplify

x x^{4} + x \cdot 2 x^{2} + x \cdot 1 : x^{5} + 2 x^{3} + x

= x^{5} + 2 x^{3} + x

Popular Examples

32 \frac{3}{5}

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Frequently Asked Questions (FAQ)

What is expand x(x^2+1)^2 ?
The solution to expand x(x^2+1)^2 is x^5+2x^3+x