Question

Whats the least common denominator of the expression g to the second power over 9 minus g to the second power plus 14 plus g over 24g plus 8g to the second power

Answer 1

The least common denominator of the expression is 72g.

Explanation:

First, let us write the expression out mathematically

`(g^(2) )/(9) - g^(2) + 14 + (g)/(24g) + 8g^(2)`

The denominators in the expression are 9 and 24g. To find the least common denominator, we will determine the least common multiple of the numbers (9 and 24) first, and then find the least common multiple of the result and g (since it is the only letter).

Multiples of 9 = 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, ...

Multiples of 24 = 24, 48, 72, 96, ...

The least common multiple of 9 and 24 is 72.

Then, the least common multiple of 72 and g is 72g

Hence, the least common denominator of the expression is 72g.