Video Transcript
Which of the following expressions is equivalent to four multiplied by three 𝑥 plus two? Is it A) 12𝑥 plus eight? Is it B) 12𝑥 plus two? Is it C) 14𝑥, D) 20𝑥, or E) three 𝑥 plus eight?
In order to expand or multiply out a bracket, we need to multiply every term outside of the bracket by each of the terms inside the bracket. In this case, we need to multiply four by three 𝑥 and then multiply four by two. Four multiplied by three 𝑥 is equal to 12𝑥, and four multiplied by two is equal to eight. This means that four multiplied by three 𝑥 plus two is equal to 12𝑥 plus eight. The expression that is equivalent to four multiplied by three 𝑥 plus two is A) 12𝑥 plus eight.