Question

Which expression is equivalent to Which expression is equivalent to 5(c + b) + 4c – 2b?

3c + 9b
5c + 3b
9c + 3b
9c + 7c

Answer 1

Multiply 5 by each term inside the parentheses (c+b).

5(c)+5(b)+4c−2b


Multiply 5 by the c inside the parentheses.

5⋅c+5(b)+4c−2b


Multiply 5 by c to get 5c.

5c+5(b)+4c−2b


Multiply 5 by the b inside the parentheses.

5c+5⋅b+4c−2b


Multiply 5 by b to get 5b.

5c+5b+4c−2b
5c+5b+4c−2b
Since 5c and 4c are like terms, add 4c to 5c to get 9c.
9c+5b−2b
Since 5b and −2b are like terms, add −2b to 5b to get 3b.
9c+3b

Answer 2

@sjman1 you get it