Final answer:
To multiply the binomials (z-3)*(z-5), use the distributive property and combine like terms.
Step-by-step explanation:
To multiply the binomials (z-3)*(z-5), we will use the distributive property. We will multiply each term in the first binomial with each term in the second binomial and then combine like terms.
(z-3)*(z-5) = z*z + z*(-5) + (-3)*z + (-3)*(-5)
Simplifying further, we get:
(z-3)*(z-5) = z^2 - 5z - 3z + 15
(z-3)*(z-5) = z^2 - 8z + 15
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