Question

evaluate the following....
$(x - 2)(x + 2)(x {}^{2} + 4)$
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Answer 1

Step-by-step explanation:

$(x - 2)(x + 2)( {x}^{2} + 4)$

We know that

$(a + b)(a - b) = ( {a}^{2} - {b}^{2} )$

Therefore, given question becomes

$( {x}^{2} - {2}^{2} )( {x}^{2} + 4)$

$= > ( {x}^{2} - 4)( {x}^{2} + 4)$

$= > {x^{2} }^{2} - {4}^{2}$

$= > {x}^{4} - 16$