Question Video: Recognizing Equivalent Expressions

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

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Video Transcript

Which of the following expressions is equivalent to four multiplied by three π‘₯ plus two? Is it A) 12π‘₯ plus eight? Is it B) 12π‘₯ plus two? Is it C) 14π‘₯, D) 20π‘₯, or E) three π‘₯ 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 π‘₯ and then multiply four by two. Four multiplied by three π‘₯ is equal to 12π‘₯, and four multiplied by two is equal to eight. This means that four multiplied by three π‘₯ plus two is equal to 12π‘₯ plus eight. The expression that is equivalent to four multiplied by three π‘₯ plus two is A) 12π‘₯ plus eight.

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