The expression (8a² -10a -3)/(4a² - 9) simplified by factoring is (4a + 1)/(2a + 3)
How to simplify the expression by factoring
From the question, we have the following parameters that can be used in our computation:
(8a² -10a -3)/(4a² - 9)
When factored, we have
(8a² -10a -3) = 8a² + 2a - 12a - 3
(8a² -10a -3) = 2a(4a + 1) - 3(4a + 1)
(8a² -10a -3) = (2a - 3)(4a + 1)
Also, we have
(4a² - 9) = (2a + 3)(2a - 3)
using the above as a guide, we have the following:
(8a² -10a -3)/(4a² - 9) = (2a - 3)(4a + 1)/(2a + 3)(2a - 3)
Evaluate
(8a² -10a -3)/(4a² - 9) = (4a + 1)/(2a + 3)
Hence, the expression by factoring is (4a + 1)/(2a + 3)