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Popular >

expand (sqrt(x^2+1))^2

Solution

expand

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

Solution

x^{2} + 1

Solution steps

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

Apply radical rule:

a = a^{\frac{1}{2}}

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

Apply exponent rule:

(a^{b})^{c} = a^{b c}

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

\frac{1}{2} \cdot 2 = 1

= x^{2} + 1

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Frequently Asked Questions (FAQ)

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