Question

Write the factored form of the least common denominator needed to simplify this expeession

Answer 1

The least common denominator is factored form is,

(g - 3)(g + 5)

Explanation:

To find the least common denominator,

we have to factor g^2 + 2g - 15

g + 5 is already factored

now,

g^2 + 2g - 15 is factored as,

g^2 +5g - 3g - 15

g(g + 5) - 3(g + 5)

(g - 3)(g + 5)

So,

g^2 + 2g - 15 = (g - 3)(g + 5)

Since g + 5 is common to both denominators,

The least common denominator is factored form is,

(g - 3)(g + 5)