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Add:

4m+3+3m+4

Short Answer

Expert verified

The required sum is7m+25m+3m+4.

Step by step solution

01

Step 1. Given Information

The given expression is4m+3+3m+4

02

Step 2. Write both the Rational Expressions with LCD 

  • The denominators of rational expression are not the same. So, find the LCD.
  • The LCD for the given rational expressions is m+3m+4.
  • Write the expressions with the LCD as denominators.

4m+3=4m+16m+3m+43m+4=3m+9m+3m+4

03

Step 3. Add the obtained expressions 

  • Add the expressions with LCD.

4m+16m+3m+4+3m+9m+3m+4=4m+16+3m+9m+3m+4=7m+25m+3m+4

  • So, the required sum is7m+25m+3m+4

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