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12 June, 11:32

Simplify 2a^2b^3 (4a^2 + 3ab^2 - ab) = ?

A. 8a^4b^5 + 3a^3b^5 + 2a^3b^4 B. 8a^4b^5 + 3a^3b^5 - 2a^3b^4

C. 8a^4b^3 + 6a^3b^5 + 2a^3b^4 D. 8a^4b^3 + 6a^3b^5 - 2a^3b^4

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Answers (2)
  1. 12 June, 13:12
    0
    The answer is D

    When multiplying like terms, we add the power

    When dividing like terms, we subtract the powers
  2. 12 June, 13:20
    0
    D. 8a^4b^3 + 6a^3b^5 - 2a^3b^4

    Step-by-step explanation:

    To simplify the given expression, we must open up the parenthesis by multiplying the variable outside of it with all the individual elements in the parenthesis.

    2a^2b^3 * 4a^2 = 8a^4b^3

    2a^2b^3 * 3ab^2 = 6a^3b^5

    2a^2b^3 * - ab = - 2a^3b^4

    Adding up the products

    2a^2b^3 (4a^2 + 3ab^2 - ab) = 8a^4b^3 + 6a^3b^5 - 2a^3b^4
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