Question

Factorise : 125a3 + 27 + 135a + 225a2

Answer 1

⇒Factorise : 125a3 + 27 + 135a +225a2{ This sum can be solved through two way} :-

⇒ Quadratic formula

⇒synthetic division 

I have done quadratic forrmula ,,,,,,,,,,,,,,,,,,,,,

⇒125  a³   +   27 +   135   a +  225  a²


⇒ 125 a³    +   225  a ²     + 135 a    +   27


⇒ (5 a )³     + 3 × ( 5 a )²  × ( 3 )  +  3 × ( 5 a )  ×  ( 3 )²  + 33


⇒so we get answer as  = ( 5  a +   3  )³