Final answer:
To simplify the given expressions, combine like terms. The answers are: (a) 6a²b, (b) 7a²b + 2a²bc, (c) 14a² + 2a²b, (d) 8a²b + 6b².
Step-by-step explanation:
To simplify the given expressions, we need to combine like terms. Like terms have the same variables and exponents. Let's simplify each expression:
(a) 3a²b + 4a²b - a²b = (3 + 4 - 1) a²b = 6a²b
(b) 3a²b + 4ab² + 2a²bc = (3 + 4) a²b + 2a²bc = 7a²b + 2a²bc
(c) 3a²b + 4a² + a²b + 6a² = (3 + 4 + 1 + 6) a² + 2a²b = 14a² + 2a²b
(d) 3a²b + 4a² + a²b + 6b² = (3 + 4 + 1) a²b + 6b² = 8a²b + 6b²