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Simplify:

a) 3a²b+4a²b−a²b
b) 3a²b+4ab²+2a²b
c) 3a²b+4a²+a²b+6a²
d) 3a²b+4a²+a²b+6b²

1 Answer

4 votes

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

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