Simplify the expression below.
A. 2√3ef / 9f²
B. 2√3ef / 3f
C. 2√e / 3f
D. 2√e
Simplify the expression below.
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To simplify the expression ( frac{2sqrt{3}ef}{9f^2} ), we start by reducing the fraction.
1. Break down the components: The numerator is ( 2sqrt{3}ef ) and the denominator is ( 9f^2 ).
2. Cancel out common factors: We see that we have an ( f ) in the numerator and ( f^2 ) in the denominator. We can cancel one ( f ) from each.
This gives us:
[
frac{2sqrt{3}e}{9f}
]
3. Re-evaluate the expression: Since there are no further common factors to reduce, this is the simplified form.
Thus, the correct answer is B. ( frac{2sqrt{3}e}{3f} ).
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