Final answer:
To find the difference of two expressions, multiply each term of the first expression by the second expression, and then simplify.
Step-by-step explanation:
To find the difference of two expressions, we can use the distributive property to expand the product and then simplify. The given expressions are (4/5k + 1) and (3/5k - 2).
We can multiply each term of the first expression by the second expression, and then simplify:
(4/5k + 1) * (3/5k - 2) = (12/25k^2 - 8/5k + 3/5k - 2)
Combining like terms, we get:
(12/25k^2 - 5/5k - 2)
Simplifying further, we have:
(12/25k^2 - 5/5k - 2) = (12/25k^2 - 1k - 2)
Therefore, the difference of the two expressions is (12/25k^2 - 1k - 2).