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Question
Find the following product: (2x2 − 3) (2x2 + 5)
Solution
Here, we will use the identity \[\left( x - a \right)\left( x + b \right) = x^2 + \left( b - a \right)x - ab\].
\[\left( 2 x^2 - 3 \right)\left( 2 x^2 + 5 \right)\]
\[ = \left( 2 x^2 \right)^2 + \left( 5 - 3 \right)\left( 2 x^2 \right) - 3 \times 5\]
\[ = 4 x^4 + 4 x^2 - 15\]
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