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Popular >

expand ((x^2+x)/x)^2

Solution

expand

(\frac{x ^{2} + x}{x})^{2}

Solution

x^{2} + 2 x + 1

Solution steps

(\frac{x ^{2} + x}{x})^{2}

\frac{x ^{2} + x}{x} = x + 1

= (x + 1)^{2}

Apply Perfect Square Formula:

(a + b)^{2} = a^{2} + 2 ab + b^{2}

a = x, b = 1

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

Simplify

x^{2} + 2 x \cdot 1 + 1^{2} : x^{2} + 2 x + 1

= x^{2} + 2 x + 1

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Frequently Asked Questions (FAQ)

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