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7 February, 17:41

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)

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  1. 7 February, 19:31
    0
    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 ...
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