Question

I'm trying to factor a problem and cannot seem to get it to work out ---

12a^3 + 10a^2 - 8a

I first factored out the gcf of 2 to get 2a(6a^2 + 5a - 4)

From there I keep coming up with answers that are incorrect when I check them -- any suggestions please?

Answer 1

2a(3a+4)(2a-1)

Answer 2

12a³ + 10a² - 8a = 2a ( 6a² + 5a - 4 ) =

2a ( 6a² - 3a + 8a - 4 ) = 2a [ ( 6a² - 3a ) + ( 8a - 4 ) ] =

2a [ 3a ( 2a - 1 ) + 4 ( 2a - 1 ) ] =

2a [ ( 2a - 1 ) ( 3a + 4 ) ] = 2a ( 2a - 1 ) ( 3a + 4 )


12 a³ + 10 a² - 8 a = 2a ( 2a - 1 ) ( 3a + 4 )