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Question
Find the following product: (z2 + 2) (z2 − 3)
Solution
Here, we will use the identity \[\left( x + a \right)\left( x - b \right) = x^2 + \left( a - b \right)x - ab\].
\[\left( z^2 + 2 \right)\left( z^2 - 3 \right)\]
\[ = \left( z^2 \right)^2 + \left( 2 - 3 \right)\left( z^2 \right) - 2 \times 3\]
\[ = z^4 - z^2 - 6\]
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