Answer:
Factored form of A-B is: (5-3p^4)(25+15p^4+9p^8)
Option A is correct.
Explanation:
Given:
A= 125
B = 27p^12
To find: A-B
A-B = 125 - 27p^12
A-B=(5)^3-(3p^4)^3
We know that, a^3 - b^3 = (a-b)(a^2+ab+b^2)
Using this formula and finding factored form of A-B:
=(5-3p^4)((5)^2+(5)(3p^4)+(3p^4)^2)
=(5-3p^4)(25+15p^4+9p^8)
So, factored form of A-B is: (5-3p^4)(25+15p^4+9p^8)
Option A is correct.