Answer: [tex]9c^3d^2(6d^2+c)[/tex]
Step-by-step explanation:
Given expression : [tex]54c^3d^4+9c^4d^2[/tex]
We can write the above expression as
[tex](6\times9)c^3d^{(2+2)}+9c^{(3+1)}d^2[/tex]
[tex]=(6\times9)c^3d^2d^2+9c^3c^1d^2[/tex]
We can see the greatest common factor of both the terms = [tex]9c^3d^2[/tex]
Taking the greatest common factor outside , we get
[tex]9c^3d^2(6d^2+c)[/tex]
Hence, the factorize form of given expression is given by:-
[tex]54c^3d^4+9c^4d^2=9c^3d^2(6d^2+c)[/tex]
