Question

2(b + c)/3 * 18/(6(b + c)^2) = \square (simplify your answer.)

Explanation:

Step1: Multiply numerators and denominators

Multiply the numerators: \(2(b + c)\times18 = 36(b + c)\)
Multiply the denominators: \(3\times6(b + c)^2=18(b + c)^2\)
So the expression becomes \(\frac{36(b + c)}{18(b + c)^2}\)

Step2: Simplify the fraction

Simplify the numerical coefficients: \(\frac{36}{18}=2\)
Simplify the \((b + c)\) terms: \(\frac{(b + c)}{(b + c)^2}=\frac{1}{(b + c)}\) (assuming \(b + c
eq0\))
Multiply the simplified parts: \(2\times\frac{1}{(b + c)}=\frac{2}{b + c}\)

Answer:

\(\boldsymbol{\frac{2}{b + c}}\)