Question
Find the following products: $(z^2+ 2) (z^2- 3)$

Answer

Here, we will use the identity $(x + a)(x - b) = x^2+ (a - b)x - ab.$
$\left(z^2+2\right)\left(z^2-3\right) $
$ =\left(z^2\right) 2+(2-3)\left(z^2\right)-2 \times 3 $
$ =z^4-z^2-6 $

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