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factor: 63 + 45p options: 7(9 + 5p) 9(7 + 5p) 9p(7 + 5p) 5(9 + 7p)

Question

factor: 63 + 45p
options:
7(9 + 5p)
9(7 + 5p)
9p(7 + 5p)
5(9 + 7p)

Explanation:

Step1: Find GCD of 63 and 45

GCD of 63 and 45 is 9.

Step2: Factor out 9

$63 + 45p = 9\times7 + 9\times5p$

Step3: Apply distributive property

$9\times(7 + 5p)$

Answer:

$9(7 + 5p)$ (corresponding to the option "9(7 + 5p)")