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In Mathematics / Middle School | 2014-04-15

How can this expression be simplified?

Expression: [tex]3 + 2 \cdot a + b \cdot \frac{4}{2 - 4}[/tex]

Use the correct order of operations (P.E.M.D.A.S.)

A) [tex]2a + 2b - 1[/tex]

B) [tex]2a + 2b - 2[/tex]

C) [tex]2a - 2b + 3[/tex]

D) [tex]5a + 2b - 4[/tex]

Asked by Gaby2002

Answer (2)

3 + 2 ∗ a + b ∗ 2 4 ​ − 4 = 2 a + 2 b + 3 − 4 = 2 a + 2 b − 1 Answer: A

Answered by Scryt | 2024-06-10

After simplifying the expression 3 + 2 ⋅ a + b ⋅ 2 − 4 4 ​ , we arrive at 2 a − 2 b + 3 , which corresponds to option C. This was done following the order of operations, handling parentheses, division, and multiplication accordingly. The final expression reflects the simplified form without further reductions possible.
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Answered by Scryt | 2024-09-26