To simplify the expression (1/a - 1/b), we need to find a common denominator and then combine the fractions.
The common denominator for the fractions 1/a and 1/b is ab. So, we can rewrite the expression as:(1/a)(b/b) - (1/b)(a/a)= b/ab - a/ab= (b - a)/ab
Now, to simplify the expression (b^2 - a^2)/(ab^2), we can factor the numerator as the difference of squares:(b^2 - a^2) = (b + a)(b - a)
Therefore, the simplified expression becomes:(b + a)(b - a)/(ab^2)
So, the simplified expression of (1/a - 1/b) : (b^2 - a^2)/ab^2 is:(b + a)(b - a)/(ab^2) : (b + a)(b - a)/(ab^2)= 1:1
To simplify the expression (1/a - 1/b), we need to find a common denominator and then combine the fractions.
The common denominator for the fractions 1/a and 1/b is ab. So, we can rewrite the expression as:
(1/a)(b/b) - (1/b)(a/a)
= b/ab - a/ab
= (b - a)/ab
Now, to simplify the expression (b^2 - a^2)/(ab^2), we can factor the numerator as the difference of squares:
(b^2 - a^2) = (b + a)(b - a)
Therefore, the simplified expression becomes:
(b + a)(b - a)/(ab^2)
So, the simplified expression of (1/a - 1/b) : (b^2 - a^2)/ab^2 is:
(b + a)(b - a)/(ab^2) : (b + a)(b - a)/(ab^2)
= 1:1