Final answer:
To subtract the polynomials 30m⁴-(23m⁴+18m), distribute the negative and combine like terms to get the simplified result of 7m⁴ - 18m.
Step-by-step explanation:
To subtract the polynomials and simplify, we perform the subtraction 30m⁴ - (23m⁴ + 18m). We first distribute the negative sign inside the parentheses to both terms, which gives us 30m⁴ - 23m⁴ - 18m. Next, we combine like terms by subtracting 23m⁴ from 30m⁴, which results in 7m⁴. The term -18m remains unchanged because there is no like term to combine it with. Therefore, the simplified result of the subtraction is 7m⁴ - 18m.