Question

Which terms and 45p4q have a GCF of 9p3? Select two options.

18p3r
27p4q
36p3q6
63p3
72p3q6
ASAP

Answer 1

A. 18p3r

and

D. 63p3

Answer 2

`18p^3r`

`63p^3`

Explanation:

The prime factorization of
`45p^4q` is

`45p^4q=3^2* 5* p^4* q`

The prime factorization of
`18p^3r` is
`18p^3r=2* 3^2* p^3* r`

The GCF of
`45p^4q` and
`18p^3r` is
`3^2* p^3=9p^3`

The prime factorization of
`27p^4q` is
`3^3* p^4* q`

The GCF of
`45p^4q` and
`27p^4q` is
`3^2* p^4* q=9p^4q`

The prime factorization of
`36p^3q^6` is
`3^2* * 2^2p^3q^6`

The GCF of
`45p^4q` and
`36p^3q^6` is
`3^2* p^3* q=9p^3q`

The prime factorization of
`63p^3` is
`3^2* 7* p^3`.

The GCF of
`45p^4q` and
`63p^3` is
`3^2* p^3=9p^3`

The prime factorization of
`72p^3q^6` is
`2^3* 3^2p^3q^6`

The GCF of
`45p^4q` and
`72p^3q^6` is
`3^2* p^3* q=9p^3q`