A and B are monomials where A = 125 and B = 27p12. What is the factored form of A - B?

(5 - 3p^4) (25 + 15p^4 + 9p^8)

25 - 3p^4) (5 + 15p^3 + 9p^3)

(25 - 3p^4) (5 + 15p^4 + 3p^8)

(5 - 3p^4) (25 + 15p^3 + 3p^4)

The correct option is A.

Step-by-step 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 ...