find the product. Show your solution 1. (-11a²b²c) - (2abc - 5ab²c)2. (8x) (2xy + 5y - 4)3. (4m 3n) (-8m - 5n + 6)
Answer (1)
-11a^2b^2c - 2abc + 5ab^2c 2. (8x) (2xy + 5y - 4) Problem Summary: This problem asks for the product of a monomial (8x) and a trinomial (2xy + 5y - 4). We will use the distributive property. Solution:To find the product, multiply the monomial (8x) by each term inside the parenthesis. (8x) (2xy + 5y - 4) Distribute 8x to each term:= (8x \cdot 2xy) + (8x \cdot 5y) + (8x \cdot -4) Perform the multiplication for each term: - 8x \cdot 2xy = (8 \cdot 2) \cdot (x \cdot x) \cdot y = 16x^2y- 8x \cdot 5y = (8 \cdot 5) \cdot x \cdot y = 40xy- 8x \cdot -4 = (8 \cdot -4) \cdot x = -32x Combine the results:= 16x^2y + 40xy - 32x
