how do i add these and simplify
(7/w)+(8/w^2)
To add and simplify the expression (7/w) + (8/w^2), we need to find a common denominator for both terms. In this case, the common denominator will be w^2 because it includes both w and w^2.
Now, we can rewrite the expression with the common denominator:
(7/w) + (8/w^2) = (7 * w^2)/(w * w^2) + (8 * w)/(w^2)
Next, we can combine the fractions by adding the numerators while keeping the common denominator:
= (7w^2 + 8w)/(w * w^2)
Now, we can simplify the numerator. To do this, we need to factor out the greatest common factor, which in this case is w:
= w(7w + 8)/(w * w^2)
The factor w in the numerator and denominator cancels out:
= (7w + 8)/(w^2)
Therefore, the simplified form of (7/w) + (8/w^2) is (7w + 8)/(w^2).