Question 414907

8b^2 + 24 b + 18 

here 2 is common so, simplify it 

= 2( 4b^2 + 12b + 9)

= 2( 4b^2 + 6b + 6b + 9 )

= 2( 2b(2b+3) + 3(2b+3))

= 2((2b+3) (2b+3)) 

= 2 (2b+3) (2b+3)


you can also factorize it as it is in form of  a^2 +2ab+ b^2 = (a + b) ^2 , after second step....