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Which expression is equivalent to 2f-1/3(2g-3f)-1/3g?

1 Answer

3 votes

The given expression is :


2f-(1)/(3)(2g-3f)-(1)/(3)g

Simplify by the BODMAS rule

B-Brackets, O- Of, D-Division, M-Multiplication, A-Add & S - SUbtract

Step 1 : Open the brackets


2f-(1)/(3)(2g-3f)-(1)/(3)g=2f-(2)/(3)g+(3)/(3)f-(1)/(3)g

Step 2 : Simplify the similar term together


\begin{gathered} 2f-(1)/(3)(2g-3f)-(1)/(3)g=2f+(3)/(3)f-(1)/(3)g-(2)/(3)g \\ 2f-(1)/(3)(2g-3f)-(1)/(3)g=2f+f-(1)/(3)g-(2)/(3)g \\ 2f-(1)/(3)(2g-3f)-(1)/(3)g=f(2+1)-g((1)/(3)+(2)/(3)) \\ 2f-(1)/(3)(2g-3f)-(1)/(3)g=f(3)-g((3)/(3)) \\ 2f-(1)/(3)(2g-3f)-(1)/(3)g=f(3)-g(1) \\ 2f-(1)/(3)(2g-3f)-(1)/(3)g=3f-g \end{gathered}

Answer : A) 3f - g

User John Giotta
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