Evaluate the following expressions, showing your work: a) a(b+c) with a=2, b=-3, c=-5 b) a(b+c) with a=-7, b=2, c=3 c) a(b+c) with a=1, b=-8, c=2 d) (ab)+(ac) with a=3, b=-10, c=5 e) m(n+p) with m=3,

Here are the solutions to the problems: a) Step 1: Substitute the given values a=2, b=-3, and c=-5 into the expression a × (b+c). 2 × (-3 + (-5)) Step 2: Solve the expression inside the parentheses. -3 + (-5) = -8 Step 3: Multiply the result by a. 2 × -8 = -16 The final answer is -16. b) Step 1: Substitute the given values a=-7, b=2, and c=3 into the expression a × (b+c). -7 × (2 + 3) Step 2: Solve the expression inside the parentheses. 2 + 3 = 5 Step 3: Multiply the result by a. -7 × 5 = -35 The final answer is -35. c) Step 1: Substitute the given values a=1, b=-8, and c=2 into the expression a × (b+c). 1 × (-8 + 2) Step 2: Solve the expression inside the parentheses. -8 + 2 = -6 Step 3: Multiply the result by a. 1 × -6 = -6 The final answer is -6. d) Step 1: Substitute the given values a=3, b=-10, and c=5 into the expression (a × b) + (a × c). (3 × -10) + (3 × 5) Step 2: Perform the multiplications within each parenthesis. 3 × -10 = -30 3 × 5 = 15 Step 3: Add the two results. -30 + 15 = -15 The final answer is -15. e) Step 1: Substitute the given values m=3, n=2, and p=-11 into the expression m × (n+p). 3 × (2 + (-11)) Step 2: Solve the expression inside the parentheses. 2 + (-11) = 2 - 11 = -9 Step 3: Multiply the result by m. 3 × -9 = -27 The final answer is -27. f) Step 1: Substitute the given values m=7, n=8, and p=-9 into the expression (m × n) + (m × p). (7 × 8) + (7 × -9) Step 2: Perform the multiplications within each parenthesis. 7 × 8 = 56 7 × -9 = -63 Step 3: Add the two results. 56 + (-63) = 56 - 63 = -7 The final answer is -7. Last free one today — make it count tomorrow, or type /upgrade for unlimited.