Question Video: Recognizing Equivalent Expressions | Nagwa Question Video: Recognizing Equivalent Expressions | Nagwa

# Question Video: Recognizing Equivalent Expressions Mathematics

Which of the following expressions is equivalent to 4(3𝑥 + 2)? [A] 12𝑥 + 8 [B] 12𝑥 + 2 [C] 14𝑥 [D] 20𝑥 [E] 3𝑥 + 8

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### 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.

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