What is expand r^2+(a+4/a)r+(0.5*a^2-2) ?

The solution to expand r^2+(a+4/a)r+(0.5*a^2-2) is r^2+ra+(4r)/a+0.5a^2-2

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expand r^2+(a+4/a)r+(0.5*a^2-2)

expand

r^{2} + (a + \frac{4}{a}) r + (0.5 \cdot a^{2} - 2)

r^{2} + r a + \frac{4 r}{a} + 0.5 a^{2} - 2

Solution steps

r^{2} + (a + \frac{4}{a}) r + (0.5 a^{2} - 2)

Apply rule:

a + (b + c) = a + b + c

(a + \frac{4}{a}) r + (0.5 a^{2} - 2) = (a + \frac{4}{a}) r + 0.5 a^{2} - 2

= r^{2} + (a + \frac{4}{a}) r + 0.5 a^{2} - 2

= r^{2} + r (a + \frac{4}{a}) + 0.5 a^{2} - 2

Expand

r (a + \frac{4}{a}) : r a + \frac{4 r}{a}

= r^{2} + r a + \frac{4 r}{a} + 0.5 a^{2} - 2

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What is expand r^2+(a+4/a)r+(0.5*a^2-2) ?
The solution to expand r^2+(a+4/a)r+(0.5*a^2-2) is r^2+ra+(4r)/a+0.5a^2-2