What is expand (n+4)*sqrt(n-1) ?

The solution to expand (n+4)*sqrt(n-1) is nsqrt(n-1)+4sqrt(n-1)

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expand (n+4)*sqrt(n-1)

expand

(n + 4) \cdot n - 1

n n - 1 + 4 n - 1

Solution steps

(n + 4) n - 1

= n - 1 (n + 4)

Apply the distributive law:

a (b + c) = ab + a c

n - 1 (n + 4) = n - 1 n + n - 1 \cdot 4

= n - 1 n + n - 1 \cdot 4

= n n - 1 + 4 n - 1

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What is expand (n+4)*sqrt(n-1) ?
The solution to expand (n+4)*sqrt(n-1) is nsqrt(n-1)+4sqrt(n-1)