Question

Factor the polynomial 54c3d4 + 9c4d2

Answer 1

54c^3d^4 + 9c^4d^2
9c^3d^2(6d^2 + c)

Answer 2

Answer:
`9c^3d^2(6d^2+c)`

Explanation:

Given expression :
`54c^3d^4+9c^4d^2`

We can write the above expression as

`(6*9)c^3d^((2+2))+9c^((3+1))d^2`

`=(6*9)c^3d^2d^2+9c^3c^1d^2`

We can see the greatest common factor of both the terms =
`9c^3d^2`

Taking the greatest common factor outside , we get

`9c^3d^2(6d^2+c)`

Hence, the factorize form of given expression is given by:-

`54c^3d^4+9c^4d^2=9c^3d^2(6d^2+c)`