Question

Simplify these expressions. a.2r+3+4r. b.8+3d+d. c.mn+ (-3mm)+6 d. 10s + (-10) + (-4s)

Answer 1

a. 2r + 3 + 4r

Combine the coefficients of the like monomials.

(2 + 4 = 6)

Answer: 6r + 3

b. 8 + 3d + d

Combine the coefficients of the like monomials.

(3 + 1 = 4)

Answer: 8 + 4d

c. mn + (–3mn) + 6

Combine the coefficients of the like monomials.

[1 + (–3) = –2]

Answer: –2mn + 6

d. 10s + (–10) + (–4s)

Combine the coefficients of the like monomials.

[10 + (–4) = 6]

Answer: 6s + (–10)

Explanation:

straight from Penn

Answer 2

Explanation:

Combine like terms

a. 2r + 3 + 4r = (2r + 4r) + 3 = 6r + 3

b. 8 + 3d + d = (3d + d) + 8 = 4d + 8

c. mn + (-3mn) + 6 = (mn - 3mn) + 6 = -2mn + 6

d. 10s + (-10) + (-4s) = (10s - 4s) - 10 = 14s - 10

Terms are called "like terms" if they have the same variable part (the same letters in the same powers). Like terms differ at most coefficient.