Question

6a^2-a-15 factorise by splitting mid term

Answer 1

6a²-a - 15 = 0
∴ 6a² - 10a + 9a -15 = 0
∴ 2a ( 3a - 5 ) + 3 ( 3a - 5 ) = 0
∴ ( 2a + 3 ) ( 3a - 5 ) = 0
∴ 2a + 3 = 0 or 3a - 5 = 0
∴ a = -3/2 or a = 5/3.

Hope this helps you !!
# Dhruvsh

Answer 2

6a² - a -15
= 6a² + 9a - 10a - 15
= 3a (2a + 3) - 5 (2a + 3)
= (3a - 5)(2a + 3)

a = 5/3 OR a = -3/2