find the following products (Z-3)(Z-5)
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Answer:
z^2-8z+15
Step-by-step explanation:
we have to first multiply z from z-5 and then -3 from z-5 .
Then we get z^2-8z+15
so this is your answer.
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Given,
(Z-3)(Z-5)
We have to use the identity (x + a) (x - b) = x^2+ x (a – b) – ab to solve this.
Here x = Z, a = -3, b = -5
Substitute these values in the identity.
(Z-3)(Z-5) = Z^2+Z (-3-5)-3×-5
(Z-3)(Z-5) = Z^2+Z (-8)+15
(Z-3)(Z-5) = Z^2-8Z+15
Therefore the product of (Z-3)(Z-5) is Z^2-8z+15.
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