SSC CGL 2024 PYQ — Question 66

The correct answer is Option 1 i.e. 25a² – 64b².

${25a^2 - 10ab - 48b^2\over 5a + 6b} \times (5a + 8b)$

⇒ ${25a^2 - 40ab +30ab- 48b^2\over 5a + 6b} \times (5a + 8b)$

⇒ ${5a(5a - 8b) +6b(5a- 8b)\over 5a + 6b} \times (5a + 8b)$

⇒ ${(5a+6b)(5a - 8b) \over (5a + 6b)} \times (5a + 8b)$

⇒ $(5a - 8b) \times (5a + 8b)$

⇒ 25a² - 64b²