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4 January, 09:39

Does Anyone know the answer or have the link to this question?

Multiply (x + 2y) (x2 - xy + 3y).

A. x3 + x2y, + 3xy - 2xy2 + 6y2

B. x2 - 3x2y + 3xy - 2xy2 + 6y2

c. x2 + 3xy - xy2 + 3y2

D. 73 - xy + 6y2

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Answers (1)
  1. 4 January, 12:10
    0
    Option A) x3 + x2y, + 3xy - 2xy2 + 6y2

    Step-by-step explanation:

    Lets try to solve it by applying distributive property, this is, multiplying term by term:

    (x + 2y) (x2 - xy + 3y) = x*x^2 + x * (-xy) + x*3y + 2y*x2 + 2y * (-xy) + 2y*3y

    Operating with the terms:

    (x + 2y) (x2 - xy + 3y) = x3 - (x^2) y + 3xy + 2y (x^2) - 2x (y^2) + 6 (y^2)

    This is equal to option A.

    Another way of noticing this was the correct answer is that A is the only one with a term of x3, with was evident to be here as we have x multiplying x3.
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