The equivalent of the given fraction expression is; (2a + 1)²/50a
What is the equivalent fraction?
We want to find the equivalent expression of;
(2a + 1)/(10a - 5) ÷ (10a/(4a² - 1))
This can be reduced to;
(2a + 1)/5(2a - 1) ÷ (10a/(2a + 1)(2a - 1))
⇒ (2a + 1)/5(2a - 1) × ((2a + 1)(2a - 1))/(10a)
⇒ (2a + 1)²/50a
In conclusion the equivalent of the given fraction expression is (2a + 1)²/50a
Read more about fractions at; https://brainly.com/question/1622425
