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 problems: Problem 1: (2x^2 + y) - (x^2 + 2y^3) Step 1: Distribute the negative sign to the terms inside the second parenthesis. 2x^2 + y - x^2 - 2y^3 Step 2: Combine like terms. (2x^2 - x^2) + y - 2y^3 x^2 + y - 2y^3 The terms y and -2y^3 are not like terms, so they cannot be combined further. The simplified expression is x^2 + y - 2y^3. --- Problem 2: (12x^2)/(3xy) Step 1: Simplify the numerical coefficients. (12)/(3) = 4 Step 2: Simplify the variables using the exponent rule (a^m)/(a^n) = a^m-n. (x^2)/(x) = x^2-1 = x^1 = x (1)/(y) Step 3: Combine the simplified parts. 4 · x · (1)/(y) = (4x)/(y) The simplified expression is (4x)/(y). --- Problem 3: (6b^3)/(3b) Step 1: Simplify the numerical coefficients. (6)/(3) = 2 Step 2: Simplify the variables using the exponent rule (a^m)/(a^n) = a^m-n. (b^3)/(b) = b^3-1 = b^2 Step 3: Combine the simplified parts. 2 · b^2 = 2b^2 The simplified expression is 2b^2. Send me the next one 📸