Question

factorizar 125-225x2+135x4-27x6

Answer 1

Respuesta:

$( 3x^{2} -5 )( 40x^{2} -9x^{4} -25 )$

Explicación paso a paso:

$125 -225x^{2} + 135x^{4} -27x^{6}$ =

$(135x^{4} - 225 x^{2} ) - ( 27 x^{6} - 125 ) = 45x^{2} ( 3x^{2} - 5 ) - ( 3x^{2} - 5 ) [ (5x^{2} )^{2} + (5x^{2} )( 5 ) + (5 )^{2} ]$

$= ( 3x^{2} -5 ) [ 45x^{2} - ( 9x^{4} +5x^{2} +25 ) ]$

$= ( 3x^{2} -5 )(45x^{2} - 9x^{4} -5x^{2} - 25 )$

$= ( 3x^{2} -5 ) ( 40x^{2} - 9x^{4} - 25 )$