Question

Simplify the expression. Write your answers using integers or improper fractions.
minus, start fraction, 3, divided by, 2, end fraction, u, minus, 3, left parenthesis, 3, u, plus, one half, right parenthesis
−
2
3
​
u−3(3u+
2
1
​
)

Answer 1

Start with -(3/2)u - 3(3u + 1/2).

Distribute and combine like terms:
-(3/2)u - 9u - 3/2 = -(3/2 + 18/2)u - 3/2 = -(21/2)u - 3/2.

Factor if desired: -3(7u + 1)/2.

So the simplified form is -21/2 u - 3/2 (equivalently -3(7u+1)/2).