Use suitable identities to find the following products:
$(x^{2} + \frac{3}{5}) (x^{2} - \frac{3}{5})$

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Solution

$(x^{2} + \frac{3}{5}) (x^{2} - \frac{3}{5})$
$∵ (a + b) (a - b) = a^{2} - b^{2}$
$∴ (x^{2} + \frac{3}{5}) (x^{2} - \frac{3}{5}) = (x^{2})^{2} - {(\frac{3}{5})}^{2}$
$= x^{4} - \frac{9}{25}$

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