write an expression equivalent to $\\frac{1}{3}(12x + 6x - 21)$. $\\frac{1}{3}(12x + 6x - 21)=\\square…
write an expression equivalent to $\\frac{1}{3}(12x + 6x - 21)$. $\\frac{1}{3}(12x + 6x - 21)=\\square x-\\square$
Answer
Explanation:
Step1: Combine like terms inside the parentheses
First, combine (12x) and (6x). So, (12x + 6x=18x). The expression becomes (\frac{1}{3}(18x - 21)).
Step2: Apply the distributive property (a(b + c)=ab+ac) (here (a = \frac{1}{3}), (b = 18x), (c=- 21))
[ \begin{align*} \frac{1}{3}(18x-21)&=\frac{1}{3}\times18x-\frac{1}{3}\times21\ \end{align*} ]
Step3: Simplify each term
For (\frac{1}{3}\times18x), (\frac{18x}{3}=6x). For (\frac{1}{3}\times21), (\frac{21}{3} = 7)
Answer:
(6x-7)