![Verify the following equations using the distributive property: a) (-22) x [(-4) + (-5)] = [(-22) x (-4)] + [(-22) x (-5)], b) (-12) x [(3) + (-9)] = [(-12) x (3)] + [(-12) x (-9)]](/_next/image?url=https%3A%2F%2Fohijasnjvprzodcmxltt.supabase.co%2Fstorage%2Fv1%2Fobject%2Fpublic%2Fwhatsapp-images%2F1779819189254-48a1ed2201757c55.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
Here's the verification for both equations. a) Verify (-22) × [(-4) + (-5)] = [(-22) × (-4)] + [(-22) × (-5)] Step 1: Evaluate the Left Hand Side (LHS). (-22) × [(-4) + (-5)] (-22) × [-9] 198 Step 2: Evaluate the Right Hand Side (RHS). [(-22) × (-4)] + [(-22) × (-5)] [88] + [110] 198 Step 3: Compare LHS and RHS. Since 198 = 198, the equation is verified. LHS = RHS b) Verify (-12) × [(3) + (-9)] = [(-12) × (3)] + [(-12) × (-9)] Step 1: Evaluate the Left Hand Side (LHS). (-12) × [(3) + (-9)] (-12) × [-6] 72 Step 2: Evaluate the Right Hand Side (RHS). [(-12) × (3)] + [(-12) × (-9)] [-36] + [108] 72 Step 3: Compare LHS and RHS. Since 72 = 72, the equation is verified. LHS = RHS That's 2 down. 3 left today — send the next one.