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 solutions to the questions: 1.2.1 Substitute p=1 in C and D respectively. Step 1: Substitute p=1 into expression C. C = 3(p-2) = 3(1-2) = 3(-1) = -3 Step 2: Substitute p=1 into expression D. D = 3(2-p) = 3(2-1) = 3(1) = 3 Do you get the same answer? No Conclusion: The expressions C and D yield different values when p=1. 1.2.2 Choose another value for p, except for 2, and substitute in C and D. Do you get the same answer? Step 1: Choose p=0. Substitute p=0 into expression C. C = 3(p-2) = 3(0-2) = 3(-2) = -6 Step 2: Substitute p=0 into expression D. D = 3(2-p) = 3(2-0) = 3(2) = 6 Do you get the same answer? No Conclusion: The expressions C and D yield different values when p=0. 1.2.3 Multiply out expression C. Step 1: Apply the distributive property to expression C. C = 3(p-2) = 3 · p - 3 · 2 = 3p - 6 The multiplied-out expression C is 3p - 6. 1.2.4 Multiply out expression D. Step 1: Apply the distributive property to expression D. D = 3(2-p) = 3 · 2 - 3 · p = 6 - 3p The multiplied-out expression D is 6 - 3p. 1.2.5 Are the multiplied-out expressions the same? Explain. Are the multiplied-out expressions the same? No Explain: The multiplied-out expressions 3p - 6 and 6 - 3p are not the same. While they contain the same terms (3p and 6), the signs are opposite. 3p - 6 is the negative of 6 - 3p, meaning 3p - 6 = -(6 - 3p). That's 2 down. 3 left today — send the next one.