Find the product of: $(x - 2) (x + 2) (x^{2} + 4) (x^{4} + 16)$
Answer: $x^{8} - 256$

True

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False

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Solution

The correct option is A True
$(a - b) (a + b) = a^{2} - b^{2}$
So, $(x - 2) (x + 2) (x^{2} + 4) (x^{4} + 16)$
$= (x^{2} - 4) (x^{2} + 4) (x^{4} + 16)$
$= (x^{4} - 16) (x^{4} + 16)$
$= x^{8} - 16^{2}$
$= x^{8} - 256$

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