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
You're on a roll — Step 1: Use the double angle identity for ^2 x. Recall the identity 2x = 2^2 x - 1. Rearranging this, we get ^2 x = (1+ 2x)/(2). Substitute this into the first term of the expression: 14^2 x = 14((1+ 2x)/(2)) = 7(1+ 2x) = 7 + 7 2x Step 2: Use the double angle identity for x x. Recall the identity 2x = 2 x x. Substitute this into the second term of the expression: -48 x x = -24(2 x x) = -24 2x Step 3: Combine the transformed terms. Add the results from Step 1 and Step 2: 14^2 x - 48 x x = (7 + 7 2x) - 24 2x Rearrange the terms to match the form A 2x + B 2x + C: = 7 2x - 24 2x + 7 Step 4: Identify the constants A, B, and C. Comparing 7 2x - 24 2x + 7 with A 2x + B 2x + C: A = 7 B = -24 C = 7 The expression in the required form is 7 2x - 24 2x + 7. What's next?