Q. Simplify. Write your answer using whole numbers and variables.4c−336c−27
Identify Terms and Factors: Identify the terms in the expression and look for common factors. The expression is 36c−427c−3. We can see that 36c and −427c have a common variable c.
Factor Out Common Variable: Factor out the common variable c from the terms 36c and −427c. We can write the expression as c(36−427)−3.
Simplify Inside Parentheses: Simplify the expression inside the parentheses.To subtract 427 from 36, we need to have a common denominator. The number 36 can be written as 4144 to have the same denominator as 427.So, c(36−427) becomes c(4144−427).
Subtract Fractions: Subtract the fractions inside the parentheses.c(4144−427)=c(4117).
Distribute Variable: Distribute the variable c across the fraction.c(4117)=4117c.
Combine Terms: Combine the term with the variable c with the constant term −3. Since −3 does not have the same denominator as rac{117c}{4}, we need to write −3 with a denominator of 4 to combine them. −3 can be written as -rac{12}{4}. So, the expression becomes rac{117c}{4} - rac{12}{4}.
Subtract Constants: Subtract the constant terms.4117c−412=4117c−12.
Check for Simplification: Check if the numerator can be simplified further.The numerator 117c−12 does not have any common factors with the denominator 4, so it cannot be simplified further.