Problem 297
Use the distributive property of multiplication over addition to find each product:
a. (20 + 5) * 3
b. 4 * (5 + 6)
C. (x + 10) * (3x + 2)
Solution
a. (20 + 5) * 3 = (20 * 3) + (5 * 3) = 60 + 15 = 75
b. 4*(5 + 6) = (4 * 5) + (4 * 6) = 20 + 24 = 44
c. (x + 10) * (3x + 2) = (x)(3x) + (x)(2) + (10)(3x) + (10)(2) = 3x2 + 2x + 30x + 20 = 3x2 + 32x + 20