Question
Find the following products:
$\left(2 x^2-3\right)\left(2 x^2+5\right)$

Answer

Here, we will use the identity $(x-a)(x+b)=x^2+(b+a) x-a b$.
$\left(2 x^2-3\right)\left(2 x^2+5\right)$
$=\left(2 x^2\right)^2+(5-3)\left(2 x^2\right)-3 \times 5$
$=4 x^4+4 x^2-15$

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