how do i simpllify 5/x + 4/x^2 - 3/x^3
what is the least common multiple of 16x^3yz^3 and 14z^6xy^4c
5x^2/x^3 + 4x/x^3 - 3/x^3
(5x^2 + 4x - 3)/x^3
hmmm. won't factor easily
To simplify the expression 5/x + 4/x^2 - 3/x^3, we need to find a common denominator for the three terms and then combine them.
The common denominator for the terms is x^3 since it is the least common multiple of x, x^2, and x^3.
To get each term's denominator to be x^3, we need to multiply the first term by x^2, the second term by x, and the third term by 1 (which is already x^3/x^3).
So, the expression becomes:
(5/x) * (x^2/x^2) + (4/x^2) * (x/x) - (3/x^3) * (1)
Simplifying each term in the numerator:
(5 * x^2) / (x * x^2) + (4 * x) / (x^2 * x) - 3 / x^3
Now, we can combine the terms with the same denominator:
(5x^2 + 4x - 3) / (x^3)
Thus, the simplified expression is (5x^2 + 4x - 3) / (x^3).