Factor the expression three 𝑝𝑞 plus 𝑝 completely.
In order to factor this expression, we need to find the highest common factor of three 𝑝𝑞 and 𝑝. The only common part of these two terms is 𝑝. This means that we can factor 𝑝 out of the bracket or parenthesis. Three 𝑝𝑞 divided by 𝑝 is three 𝑞. Therefore, our first term in the parenthesis is three 𝑞. 𝑝 divided by 𝑝 is equal to one. Therefore, the second term in our parenthesis is plus one — positive one.
We can check this answer by expanding or multiplying out the parenthesis or bracket. 𝑝 multiplied by three 𝑞 is three 𝑝𝑞 and 𝑝 multiplied by one is equal to 𝑝.
This means that the expression three 𝑝𝑞 plus 𝑝 factored completely is 𝑝 multiplied by three 𝑞 plus one.