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
Fresh day Ø+T, let's solve. Here are the simplified expressions: a) Simplify 6 - 5(2a + 2) Step 1: Distribute the -5 into the parenthesis. 6 - 5(2a) - 5(2) 6 - 10a - 10 Step 2: Combine the constant terms. -10a + (6 - 10) -10a - 4 b) Simplify 5(3x - 1) + 4(x + 2) Step 1: Distribute 5 into the first parenthesis and 4 into the second. 5(3x) + 5(-1) + 4(x) + 4(2) 15x - 5 + 4x + 8 Step 2: Combine like terms. (15x + 4x) + (-5 + 8) 19x + 3 c) Simplify -3(2y + 3) - (4y - 2) Step 1: Distribute -3 into the first parenthesis and -1 into the second. -3(2y) - 3(3) - 1(4y) - 1(-2) -6y - 9 - 4y + 2 Step 2: Combine like terms. (-6y - 4y) + (-9 + 2) -10y - 7 d) Simplify x - 13 - (x - x^2 + 12) Step 1: Distribute -1 into the parenthesis. x - 13 - 1(x) - 1(-x^2) - 1(12) x - 13 - x + x^2 - 12 Step 2: Combine like terms. x^2 + (x - x) + (-13 - 12) x^2 + 0 - 25 x^2 - 25 e) Simplify x(x^2 + 5x - 8) + x^2 - 12 Step 1: Distribute x into the parenthesis. x(x^2) + x(5x) + x(-8) + x^2 - 12 x^3 + 5x^2 - 8x + x^2 - 12 Step 2: Combine like terms. x^3 + (5x^2 + x^2) - 8x - 12 x^3 + 6x^2 - 8x - 12 f) Simplify a(a^2 + 5a - 2) - 2(a^2 + 5a - 2) Step 1: Distribute a into the first parenthesis and -2 into the second. a(a^2) + a(5a) + a(-2) - 2(a^2) - 2(5a) - 2(-2) a^3 + 5a^2 - 2a - 2a^2 - 10a + 4 Step 2: Combine like terms. a^3 + (5a^2 - 2a^2) + (-2a - 10a) + 4 a^3 + 3a^2 - 12a + 4 Send me the next one 📸