Answer:
[tex](1)7n^2\\(2)3n^2\\(3) 1[/tex]
Step-by-step explanation:
(1) [tex]14n^2, 35n^4[/tex]
[tex]14n^2=2 X 7 X n^2\\35n^4=5 X 7 Xn^2Xn^2\\$Therefore, the GCF of 14n^2$ and 35n^4$ is 7Xn^2=7n^2[/tex]
(2)[tex]21n^3, 18n^2[/tex]
[tex]21n^3=3 X 7 X n^2 X n\\18n^2 =3 X 6 X n^2\\$Therefore, the GCF of 21n^3$ and 18n^2$ is 3Xn^2=3n^2[/tex]
(3) [tex]7n^2, 9[/tex]
The two terms are co-prime. Therefore their GCF is 1.
