What is expand (x-1)sqrt(x^2+1) ?

The solution to expand (x-1)sqrt(x^2+1) is xsqrt(x^2+1)-sqrt(x^2+1)

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

expand

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

x x^{2} + 1 - x^{2} + 1

Solution steps

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

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

Apply the distributive law:

a (b - c) = ab - a c

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

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

Simplify

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

= x x^{2} + 1 - x^{2} + 1

2.6 + 4 - \frac{1}{3}

\frac{5}{3 + 2}

16 \div 2 \frac{2}{3}

(\frac{7}{3})^{4}

(1.9)^{2}

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