Find the product : $(x - 3) (x + 3) (x^{2} + 9)$

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Solution

As we know formula $(a + b) (a - b)$ = $a^{2} - b^{2}$
Similarly $(a + b) (a + b)$ = $a^{2} + b^{2}$
As given $(x - 3) (x + 3) (x^{2} + 9)$
= $(x + 3) (x - 3) (x + 3) (x + 3)$
= $(x + 3) (x - 3)$ = $(x - 3)^{2}$
= $(x^{2} - 9) (x^{2} + 9)$
Using the formula:- $a^{2} - b^{2}$
= $(x^{2})^{2} - (9)^{2}$
= $x^{4} - 81$

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