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
Here are the solutions to the simplification problems. 1) Simplify (3x+6)/(3) Step 1: Separate the terms in the numerator. (3x+6)/(3) = (3x)/(3) + (6)/(3) Step 2: Simplify each fraction. (3x)/(3) + (6)/(3) = x + 2 The simplified expression is x+2. 2) Simplify (7a^2b + 14ab^2)/(7ab) Step 1: Separate the terms in the numerator. (7a^2b + 14ab^2)/(7ab) = (7a^2b)/(7ab) + (14ab^2)/(7ab) Step 2: Simplify each fraction using the rules of exponents (x^m/x^n = x^m-n). (7a^2b)/(7ab) + (14ab^2)/(7ab) = (a^2-1b^1-1) + (2a^1-1b^2-1) = (a^1b^0) + (2a^0b^1) Since b^0 = 1 and a^0 = 1: = a + 2b The simplified expression is a+2b. 3) Simplify (3p^5 + 15p^4 - 9p^3)/(3p^2) Step 1: Separate the terms in the numerator. (3p^5 + 15p^4 - 9p^3)/(3p^2) = (3p^5)/(3p^2) + (15p^4)/(3p^2) - (9p^3)/(3p^2) Step 2: Simplify each fraction using the rules of exponents (x^m/x^n = x^m-n). (3p^5)/(3p^2) + (15p^4)/(3p^2) - (9p^3)/(3p^2) = (p^5-2) + (5p^4-2) - (3p^3-2) = p^3 + 5p^2 - 3p The simplified expression is p^3+5p^2-3p. That's 2 down. 3 left today — send the next one.