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7. which of following options correctly simplifies the expression \6a +…

Question

  1. which of following options correctly simplifies the expression \6a + 12b + 9a\? 15a + 12b 27aab 54a + 12b 27a

Explanation:

Step1: Identify like terms

In the expression \(6a + 12b + 9a\), the like terms are \(6a\) and \(9a\) (terms with the same variable \(a\)).

Step2: Combine like terms

To combine \(6a\) and \(9a\), we add their coefficients: \(6 + 9 = 15\), so \(6a+9a = 15a\). The term \(12b\) remains as it is since there is no other term with \(b\). So the simplified expression is \(15a + 12b\).

Answer:

A. \(15a + 12b\)