Question

Determine (x-2).(x+2).(x²+4)

Answer 1

(x - 2)(x + 2)(x² + 4) = (x² - 4)(x² + 4) = x⁴ - 16

Answer 2

$(x - 2)(x + 2)( {x}^{2} + 4) = \\ = ( {x}^{2} - {2}^{2} )( {x}^{2} + 4) = \\ = ( {x}^{2} - 4)( {x}^{2} + 4) = \\ = ( {( {x}^{2} )}^{2} - {4}^{2} ) = \\ = {x}^{4} - 16$


Lembre-se de que:

$(x + y)(x - y) = {x}^{2} - {y}^{2}$