Question

((3c+1)/c-1+c)*1/c+1

Answer 1

1) (3c+1)/(c-1) +c= 3c+1+c²-c/(c-1)=(c²+2c+1)/(c-1)

2) (c+1)²/(c-1)* 1/(c+1)=(c+1)/(c-1)

Answer 2

To simplify the expression ((3c+1)/c-1+c)*1/(c+1), we can follow the order of operations, which is commonly known as PEMDAS:

1. Parentheses: There are no parentheses in this expression, so we move on to the next step.

2. Exponents: There are no exponents in this expression.

3. Multiplication and Division: We start from left to right, so we simplify the expression inside the first set of parentheses before moving on to the rest of the expression:

   (3c+1)/c-1+c = [(3c+1)/(c-1)] + c

   Next, we multiply this expression by 1/(c+1):

   [(3c+1)/(c-1)] + c * 1/(c+1)

   = [(3c+1)/(c-1)] * 1/(c+1) + c * 1/(c+1)

   = (3c+1)/(c^2-1) + c/(c+1)

4. Addition and Subtraction: There are no more addition or subtraction operations to perform, so we have simplified the expression as much as possible.

Therefore, ((3c+1)/c-1+c)*1/(c+1) simplifies to (3c+1)/(c^2-1) + c/(c+1).