Video Transcript
Fully factor the expression 𝑥
multiplied by 𝑥 plus three plus two multiplied by 𝑥 plus three.
Upon inspection, we observe
that the two parts of this expression share a common binomial factor of 𝑥 plus
three. We can, therefore, factor by
this shared binomial. In the first part of the
expression, this binomial is multiplied by 𝑥. And in the second part, it is
multiplied by two. Hence, overall, it is
multiplied by 𝑥 plus two. And so, 𝑥 multiplied by 𝑥
plus three plus two multiplied by 𝑥 plus three is equal to 𝑥 plus two
multiplied by 𝑥 plus three. This expression cannot be
factored any further as the two terms in each binomial do not share any common
factors other than one.
