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 are the simplified expressions: A) Step 1: Divide the numerical coefficients. (-18x)/(2) = ((-18)/(2))x = -9x The simplified expression is -9x. B) Step 1: Simplify the fraction by canceling out common terms. (-3x)/(-9x) = (-3)/(-9) · (x)/(x) = (1)/(3) · 1 = (1)/(3) The simplified expression is (1)/(3). C) Step 1: Cancel out the common term ab from the numerator and denominator. (3ab)/(ab) = 3 · (ab)/(ab) = 3 · 1 = 3 The simplified expression is 3. D) Step 1: Simplify the numerator by combining like terms. 5x+2x-x = (5+2-1)x = 6x Step 2: Substitute the simplified numerator back into the expression and simplify. (6x)/(2x) = (6)/(2) · (x)/(x) = 3 · 1 = 3 The simplified expression is 3. E) Step 1: Divide each term in the numerator by the denominator. (2x^2-8x)/(2x) = (2x^2)/(2x) - (8x)/(2x) Step 2: Simplify each term. (2x^2)/(2x) = x (8x)/(2x) = 4 Step 3: Combine the simplified terms. x - 4 The simplified expression is x-4. F) Step 1: Simplify the numerator by combining like terms. 5x^2+x^2 = (5+1)x^2 = 6x^2 Step 2: Substitute the simplified numerator back into the expression and simplify. (6x^2)/(-3) = ((6)/(-3))x^2 = -2x^2 The simplified expression is -2x^2.