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4) \( \frac{2}{6 b+10}+\frac{b-6}{6 b+10}= \)

Ask by Parsons Greene. in the United States
Feb 20,2025

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The simplified expression is \( \frac{-4+b}{6b+10} \).

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Bonus Knowledge

To simplify the expression \( \frac{2}{6b + 10} + \frac{b - 6}{6b + 10} \), we first notice that both fractions have the same denominator, \( 6b + 10 \). Therefore, we can combine the numerators: \[ \frac{2 + (b - 6)}{6b + 10} = \frac{b - 4}{6b + 10} \] This gives us the simplified expression. If we wanted to go further, we could factor the denominator: \[ 6b + 10 = 2(3b + 5) \] Thus, the fully simplified form would be: \[ \frac{b - 4}{2(3b + 5)} \]

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