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27 March, 13:13

Let the polynomials A = 7x² + 3xy and B = - 3xy.

Determine A. B (multiplication)

a) - 21x 2 - 9xy

b) 21x 2 + 9xy

c) - 7x 2 - 3xy

d) 7x 3 + 3x 2 y 2

e) - 21x 3 y - 9x 2 y 2

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Answers (1)
  1. 27 March, 13:39
    0
    - 21x^3 y - 9x^2 y^2 e) is your answer

    Step-by-step explanation:

    Solve the following system for A and B:

    {A = 7 x^2 + 3 x y

    B = - 3 x y

    Express the system in matrix form:

    (1 | 0

    0 | 1) (A

    B) = (7 x^2 + 3 x y

    -3 x y)

    Write the system in augmented matrix form and use Gaussian elimination:

    (1 | 0 | 7 x^2 + 3 x y

    0 | 1 | - 3 x y)

    Collect results:

    Answer: {A = 7 x^2 + 3 x y, B = - 3 x y

    then we multiply the results (7 x^2 + 3 x y) (-3 x y) = - 21x^3 y - 9x^2 y^2
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