3a/(a + 1)². Give the equivalent numerator if the denominator is (a + 1)³

Solution:

Using the concept of equivalent fraction we can state that the two fractions are equivalent when their values are the same i.e.

3a/(a + 1)² = ’x’/(a + 1)³

Where x = the required numerator

Solving the above expression we have:

x = (3a)(a + 1)³/(a + 1)²

= (3a)(a + 1)

Hence the equivalent numerator if the denominator is (a + 1)³ will be

(3a)(a + 1)

Therefore we can then state that

3a/(a + 1)² = (3a)(a + 1)/(a + 1)³

3a/(a + 1)². Give the equivalent numerator if the denominator is (a + 1)³

Summary:

The equivalent numerator, if the denominator is (a + 1)³ , will be (3a)(a + 1) .