Question

Which expression is equivalent to 2a +1 / 10a -5 divided by 10a / 4a^2 -1?

Answer 1

`answer = \frac{ {(2a + 1)}^(2) }{50a} \\ solution \\ (2a + 1)/(10a - 5) / \frac{10a}{ {4a}^(2) - 1 } \\ = (2a + 1)/(10a - 5) * \frac{ {4a}^(2) - 1}{10a} \\ = (2a + 1)/(5(2a - 1)) * \frac{ {4a}^(2) - {(1)}^(2) } {10a} \\ = (2a + 1)/(5(2a - 1)) * ((2a - 1)(2a + 1))/(10a) \\ = \frac{ {(2a + 1)}^(2) }{50a} \\ hope \: it \: helps`