This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
let's tackle the remaining problems. Here are the solutions for problems 4 and 5: 4. Simplify (u+5)/(4) - (3u-5)/(2) Step 1: Find the least common multiple (LCM) of the denominators 4 and 2. The LCM is 4. Step 2: Rewrite the second fraction with the common denominator. (3u-5)/(2) = (2(3u-5))/(2 × 2) = (6u-10)/(4) Step 3: Subtract the fractions. (u+5)/(4) - (6u-10)/(4) = ((u+5) - (6u-10))/(4) Step 4: Distribute the negative sign and combine like terms in the numerator. (u+5-6u+10)/(4) = ((u-6u) + (5+10))/(4) (-5u+15)/(4) The simplified expression is (-5u+15)/(4). 5. Simplify (x-3)/(3) - (x+2)/(5) Step 1: Find the LCM of the denominators 3 and 5. The LCM is 15. Step 2: Rewrite each fraction with the common denominator. (x-3)/(3) = (5(x-3))/(5 × 3) = (5x-15)/(15) (x+2)/(5) = (3(x+2))/(3 × 5) = (3x+6)/(15) Step 3: Subtract the fractions. (5x-15)/(15) - (3x+6)/(15) = ((5x-15) - (3x+6))/(15) Step 4: Distribute the negative sign and combine like terms in the numerator. (5x-15-3x-6)/(15) = ((5x-3x) + (-15-6))/(15) (2x-21)/(15) The simplified expression is (2x-21)/(15). All five problems are now solved! Send me the next one 📸