What is expand-n(ln(nθ)+1) ?

The solution to expand-n(ln(nθ)+1) is -nln(nθ)-n

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expand-n(ln(nθ)+1)

expand

- n (ln (n θ) + 1)

- n ln (n θ) - n

Solution steps

- n (ln (n θ) + 1)

Apply the distributive law:

a (b + c) = ab + a c

a = - n, b = ln (n θ), c = 1

= - n ln (n θ) + (- n) \cdot 1

Apply minus-plus rules

+ (- a) = - a

= - n ln (n θ) - 1 \cdot n

Multiply:

1 \cdot n = n

= - n ln (n θ) - n

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