Hi,
First, to multiply two monomials, you must:
Multiply the coefficients of the two monomials.
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
