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
Let's check your solutions. QUESTION 1 1.1 Simplify the following 1.1.1 -9x(x^2 - 3) - 5x(2x^2 - 5) Your steps are mostly correct, but there was a small sign error in the first line of your distribution. Step 1: Distribute -9x into the first parenthesis and -5x into the second parenthesis. = -9x · x^2 - 9x · (-3) - 5x · 2x^2 - 5x · (-5) = -9x^3 + 27x - 10x^3 + 25x Your intermediate line showed +10x^3, but then you correctly used -10x^3 in the next step. Step 2: Combine like terms. = (-9x^3 - 10x^3) + (27x + 25x) = -19x^3 + 52x The simplified expression is ✅ Correct: -19x^3 + 52x. 1.1.2 3(2a - 7)^2 Your solution is correct. Step 1: Expand the squared term (2a - 7)^2. (2a - 7)^2 = (2a)^2 - 2(2a)(7) + (7)^2 = 4a^2 - 28a + 49 Step 2: Multiply the result by 3. = 3(4a^2 - 28a + 49) = 12a^2 - 84a + 147 The simplified expression is ✅ Correct: 12a^2 - 84a + 147. Last free one today — make it count tomorrow, or type /upgrade for unlimited.