Answer :
Final answer:
To combine like terms in the expression 3rs - 6r + 4s - 6rs + 12r - 4s, we combine coefficients of like terms, resulting in -3rs + 6r as the simplified form.
Explanation:
To combine like terms, we must identify terms in the expression that have the same variables raised to the same powers and then add or subtract their coefficients. In the given expression 3rs - 6r + 4s - 6rs + 12r - 4s, there are like terms that we can combine.
- Combine terms with rs: 3rs - 6rs equals -3rs.
- Combine terms with just r: -6r + 12r equals 6r.
- Combine terms with just s: 4s - 4s equals 0s, which is simply 0.
By combining these terms, we get the simplified expression: -3rs + 6r.
Remember to eliminate terms wherever possible to simplify the algebra and check the answer to see if it is reasonable.
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