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
Step 1: Identify like terms. 9x + 4y - 5x + 5 The like terms are 9x and -5x. Step 2: Combine the like terms. (9x - 5x) + 4y + 5 4x + 4y + 5 The simplified expression is 4x + 4y + 5. b) Step 1: Identify like terms. 2y^2 + 6y - y^2 - 2y + 8 The like terms are 2y^2 and -y^2, and 6y and -2y. Step 2: Group the like terms. (2y^2 - y^2) + (6y - 2y) + 8 Step 3: Combine the like terms. y^2 + 4y + 8 The simplified expression is y^2 + 4y + 8. 3. a) Step 1: Expand the term 3p(p + 2q + 5r) by distributing 3p to each term inside the parenthesis. 3p(p + 2q + 5r) = (3p × p) + (3p × 2q) + (3p × 5r) 3p(p + 2q + 5r) = 3p^2 + 6pq + 15pr Step 2: Substitute the expanded term back into the original expression. p^2 + (3p^2 + 6pq + 15pr) Step 3: Identify and combine like terms. p^2 + 3p^2 + 6pq + 15pr (p^2 + 3p^2) + 6pq + 15pr 4p^2 + 6pq + 15pr The expanded and simplified expression is 4p^2 + 6pq + 15pr. Send me the next one 📸