Simplify 7over 9h+10-4over9h-3

Answer 1

The expression can be simplified as follows:

7/(9h + 10) - 4/(9h - 3)

To simplify further, we need to find the common denominator for the two fractions, which is (9h + 10)(9h - 3).

Now, we can rewrite the expression using the common denominator:

[(7)(9h - 3) - (4)(9h + 10)] / (9h + 10)(9h - 3)

Simplifying:
[63h - 21 - 36h - 40] / (9h + 10)(9h - 3)

Combining like terms:
[27h - 61] / (9h + 10)(9h - 3)

So the simplified expression is (27h - 61) / (9h + 10)(9h - 3).