![Simplify the following: 4.1 (4 + 2 - 16 ÷ 4 + 3) + (1 + 8 × 7) ÷ 19 × [(3 + 5 - 4) + (17 - 9 × 4)]](/_next/image?url=https%3A%2F%2Fohijasnjvprzodcmxltt.supabase.co%2Fstorage%2Fv1%2Fobject%2Fpublic%2Fwhatsapp-images%2F1774374422909-2edd8ec4f3c1ee44.png&w=3840&q=75)
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 first set of parentheses (4+2-16 ÷ 4+3). First, perform the division. 4+2-16 ÷ 4+3 = 4+2-4+3 Next, perform additions and subtractions from left to right. 4+2-4+3 = 6-4+3 = 2+3 = 5 Step 2: Simplify the expression inside the curly braces \((1+8 × 7) ÷ 19) × [(3+5-4) + (17-9 × 4)]\. First, simplify the innermost parentheses. For (1+8 × 7): 1+8 × 7 = 1+56 = 57 So, ((1+8 × 7) ÷ 19) becomes (57 ÷ 19). 57 ÷ 19 = 3 Step 3: Simplify the terms inside the square brackets [(3+5-4) + (17-9 × 4)]. For (3+5-4): 3+5-4 = 8-4 = 4 For (17-9 × 4): First, perform the multiplication. 17-9 × 4 = 17-36 Next, perform the subtraction. 17-36 = -19 Now, substitute these values back into the square brackets. [(3+5-4) + (17-9 × 4)] = [4 + (-19)] = 4-19 = -15 Step 4: Substitute the simplified values back into the curly braces. The expression inside the curly braces was \((1+8 × 7) ÷ 19) × [(3+5-4) + (17-9 × 4)]\. This simplifies to \3 × (-15)\. 3 × (-15) = -45 Step 5: Add the results from Step 1 and Step 4. The original expression was (4+2-16 ÷ 4+3) + \((1+8 × 7) ÷ 19) × [(3+5-4) + (17-9 × 4)]\. This simplifies to 5 + (-45). 5 + (-45) = 5 - 45 = -40 The simplified expression is: -40