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Secondary II • 11mo.

Hello, how to multiply algebraic expressions?

I have these two monomials.


multiplication.jpg


Mathematics
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Explanations (1)

  • Explanation from Alloprof

    Explanation from Alloprof

    This Explanation was submitted by a member of the Alloprof team.

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    Team Alloprof • 11mo.

    Hi,

    First, to multiply two monomials, you must:

    1. Multiply the coefficients of the two monomials.
    2. Add the exponents affecting identical variables.

    In your case, we multiply the coefficients 4 and -2.

    (4) ⋅ (−2) = - 8

    We add the exponents of the same variables.

    a, x2 + 1y3 + 2etz

    We only find a and z once, so there is no addition to perform.

    The complete process would be as follows.

    4x2y3z⋅ − 2axy2 = −2⋅4⋅a⋅x2⋅x⋅y3⋅y2⋅z = −2⋅4⋅a⋅x2⋅x1⋅y3⋅y2⋅z = −8⋅a⋅x2 + 1⋅y3 + 2⋅z = −8⋅a⋅x3⋅y5⋅z


    Good luck!

    Karen