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
To solve the expression, distribute the term -3x^2y to each term inside the parentheses. Given expression: -3x^2y(4x^2 - 5y) Step 1: Multiply -3x^2y by 4x^2. (-3x^2y) × (4x^2) = (-3 × 4) × (x^2 × x^2) × y = -12x^2+2y = -12x^4y Step 2: Multiply -3x^2y by -5y. (-3x^2y) × (-5y) = (-3 × -5) × x^2 × (y × y) = 15x^2y^1+1 = 15x^2y^2 Step 3: Combine the results from Step 1 and Step 2. -12x^4y + 15x^2y^2 The simplified expression is -12x^4y + 15x^2y^2. 3 done, 2 left today. You're making progress.