Exercise 59 Page 27

Begin with removing parentheses.

4b+c+2

Practice makes perfect

To find the sum, we will first remove the parentheses and then simplify the expression.

$(b+4)+(c+3b-2)$

\RemovePar

$b+4+c+3b-2$

The next step in simplifying this expression is to identify which, if any, terms can be combined. Remember, only like terms — constant terms or terms with the same variable and the same exponent — can be combined.

\begin{gathered} \col{b}\colII{\,+\,4}\colIII{\,+\,c}\col{\,+\,3b}\colII{\,-\,2} \end{gathered} We found two pairs of like terms.

Two $\col{b}\text{-terms}.$
Two $\colII{\text{constant}}$ terms.

To simplify the expression we will rearrange it according to the Commutative Property of Addition and then combine like terms.

$b+4+c+3b-2$

CommutativePropAdd

\CommutativePropAdd

$b+3b+4-2+c$

AddSubTerms

\AddSubTerms

$4b+2+c$

CommutativePropAdd

\CommutativePropAdd

$4b+c+2$

Subchapter links

Exercises p.25-27

Exercise 59 Page 27

Hints

Check the answer

Practice exercises

Asses your skill