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: Simplify the fractional part of the expression. The given expression is 2 - (y^5)/(4)y^(5)/(4) - y^(1)/(4). Let's first simplify the fraction (y^5)/(4)y^(5)/(4) - y^(1)/(4). Factor out the term with the smallest exponent, y^(1)/(4), from the denominator: (y^5)/(4)y^(1)/(4)(y^(5)/(4) - (1)/(4) - 1) (y^5)/(4)y^(1)/(4)(y^(4)/(4) - 1) (y^5)/(4)y^(1)/(4)(y - 1) Now, use the exponent rule (a^m)/(a^n) = a^m-n to simplify the y terms: (y^5)/(4) - (1)/(4)y - 1 (y^4)/(4)y - 1 (y)/(y - 1) Step 2: Substitute the simplified fraction back into the original expression. The expression becomes: 2 - (y)/(y - 1) Step 3: Combine the terms by finding a common denominator. The common denominator is (y - 1). (2(y - 1))/(y - 1) - (y)/(y - 1) (2(y - 1) - y)/(y - 1) (2y - 2 - y)/(y - 1) ((2y - y) - 2)/(y - 1) (y - 2)/(y - 1) The final answer is (y - 2)/(y - 1).