which of the following terms have a gcf of 6p³? select two options. 12p³r 27p⁴q 45p³q⁶ 54p³ 63p³q⁶

Explanation:

Step1: Analyze factors of 6p³

The factors of (6p^{3}) are (2\times3\times p\times p\times p).

Step2: Check 12p³r

For (12p^{3}r = 2\times2\times3\times p\times p\times p\times r), the G - CF with (6p^{3}) is (6p^{3}).

Step3: Check 27p⁴q

For (27p^{4}q=3\times3\times3\times p\times p\times p\times p\times q), the G - CF with (6p^{3}) is (3p^{3}).

Step4: Check 45p³q⁶

For (45p^{3}q^{6}=3\times3\times5\times p\times p\times p\times q\times q\times q\times q\times q\times q), the G - CF with (6p^{3}) is (3p^{3}).

Step5: Check 54p³

For (54p^{3}=2\times3\times3\times3\times p\times p\times p), the G - CF with (6p^{3}) is (6p^{3}).

Step6: Check 63p³q⁶

For (63p^{3}q^{6}=3\times3\times7\times p\times p\times p\times q\times q\times q\times q\times q\times q), the G - CF with (6p^{3}) is (3p^{3}).

Answer:

1. (12p^{3}r)
2. (54p^{3})