How do you combine like terms in (5.4q42.5q3+7.5q+3)(6.7q4+1.7q3+1.6q7.8)?

2 Answers
Apr 25, 2017

See the entire solution process below:

Explanation:

First, remove all of the terms from parenthesis. Be careful to handle the signs of each individual term correctly:

5.4q42.5q3+7.5q+36.7q41.7q31.6q+7.8

Next, group like terms:

5.4q46.7q42.5q31.7q3+7.5q1.6q+3+7.8

Now, combine like terms:

(5.46.7)q4+(2.51.7)q3+(7.51.6)q+(3+7.8)

1.3q4+(4.2)q3+5.9q+10.8

1.3q44.2q3+5.9q+10.8

Apr 25, 2017

1.3q44.2q3+5.9q+10.8

Explanation:

(5.4q42.5q3+7.5q+3)(6.7q4+1.7q3+1.6q7.8)

Everything in the first parenthesis stays the same

5.4q42.5q3+7.5q+3(6.7q4+1.7q3+1.6q7.8)

All of the terms in the second parenthesis have their signs changed due to the negative outside of the parenthesis

5.4q42.5q3+7.5q+36.7q41.7q31.6q+7.8

Add and subtract common terms

5.4q42.5q3+7.5q+36.7q41.7q31.6q+7.8

1.3q44.2q3+5.9q+10.8

Terms are combined.

1.3q44.2q3+5.9q+10.8