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Question 8 ( 1 point) Which expression is equivalent to \( 15 a-6 b \) ? Highlight for hint: a \( 3(5 a+2 b) \) b \( 3(5 a-2 b) \) c \( 3(5 a-6 b) \) o \( 3(15 a-2 b) \)

Ask by Smith Rodriquez. in the United States
Mar 14,2025

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The equivalent expression is \( 3(5a - 2b) \).

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Bonus Knowledge

Let's dive into the world of algebraic expressions! When you factor out a common term, in this case, the number 3, from \( 15a - 6b \), you're looking for a way to rewrite it. Dividing each term by 3 gives you \( 5a - 2b \). Therefore, the expression can be factored to be \( 3(5a - 2b) \). Ta-da! Now, for a common pitfall: students often forget to distribute the factored number correctly when expanding. This can lead to mistakes when verifying if the reformed expression matches the original. Always double-check by redistributing to ensure you're working with equivalent expressions!

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