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
Alright Malume — let's do this. Here are the simplifications for each expression: 1.1) Step 1: Divide the numerical coefficients. (4xy)/(2) = (4)/(2)xy Step 2: Simplify the fraction. 2xy The simplified expression is 2xy. 1.2) Step 1: Divide the numerical coefficients and the variables. (15a)/(3a) = (15)/(3) · (a)/(a) Step 2: Simplify the terms. 5 · 1 = 5 The simplified expression is 5. 1.3) Step 1: Divide the numerical coefficients and the variables. (18m^3)/(12m) = (18)/(12) · m^3-1 Step 2: Simplify the fraction and the exponent. (3)/(2)m^2 The simplified expression is (3)/(2)m^2. 1.4) Step 1: Simplify the numerator and the denominator separately. ((3x^3)^2)/(3x^3+3x^3) = (3^2(x^3)^2)/(6x^3) Step 2: Perform the exponentiation and addition. (9x^6)/(6x^3) Step 3: Divide the numerical coefficients and the variables. (9)/(6)x^6-3 = (3)/(2)x^3 The simplified expression is (3)/(2)x^3. 1.5) Step 1: Simplify the numerator by combining like terms and the denominator by applying the exponent. (-x^5-2x^5)/((-3x^2)^2) = ((-1-2)x^5)/((-3)^2(x^2)^2) Step 2: Perform the operations. (-3x^5)/(9x^4) Step 3: Divide the numerical coefficients and the variables. (-3)/(9)x^5-4 = -(1)/(3)x The simplified expression is -(1)/(3)x. 2.1) Step 1: Factor out the common term from the numerator. (3x+6)/(3) = (3(x+2))/(3) Step 2: Cancel out the common factor. x+2 The simplified expression is x+2. 2.2) Step 1: Factor out the common term from the numerator. (4a+12)/(4) = (4(a+3))/(4) Step 2: Cancel out the common factor. a+3 The simplified expression is a+3. 2.3) Step 1: Factor out the common term from the numerator. (x^2+6x)/(x) = (x(x+6))/(x) Step 2: Cancel out the common factor. x+6 The simplified expression is x+6. 2.4) Step 1: Factor out the common term from the numerator. (4a^3+12a^2)/(4a) = (4a^2(a+3))/(4a) Step 2: Cancel out the common factor 4a. a(a+3) Step 3: Distribute the a (optional, but often preferred). a^2+3a The simplified expression is a^2+3a. 2.5) Step 1: Divide each term in the numerator by the denominator. (3p^5-15p^4-9p^3)/(3p^2) = (3p^5)/(3p^2) - (15p^4)/(3p^2) - (9p^3)/(3p^2) Step 2: Simplify each term using exponent rules. p^5-2 - 5p^4-2 - 3p^3-2 Step 3: Perform the subtractions in the exponents. p^3 - 5p^2 - 3p The simplified expression is p^3-5p^2-3p. Send me the next one 📸