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
Step 1: Rewrite the expression with the denominator in exponent form. The square root of x can be written as x^1/2. y = (4x^2 + 3x - 2)/(x^1/2) Step 2: Divide each term in the numerator by the denominator. y = (4x^2)/(x^1/2) + (3x)/(x^1/2) - (2)/(x^1/2) Step 3: Simplify each term using the exponent rule (a^m)/(a^n) = a^m-n. For the first term: 4x^2 - 1/2 = 4x^4/2 - 1/2 = 4x^3/2 For the second term: 3x^1 - 1/2 = 3x^2/2 - 1/2 = 3x^1/2 For the third term: 2x^-1/2 Step 4: Combine the simplified terms. y = 4x^3/2 + 3x^1/2 - 2x^-1/2 The simplified expression is: y = 4x^3/2 + 3x^1/2 - 2x^-1/2 Send me the next one 📸