+3 votes
in General by kratos

Factorise : $4x^2 + 1/(4x)^2 + 1$

1 Answer

+2 votes
by kratos
 
Best answer

$4x^2 + 1/(4x)^2 + 1$

= $4x^2 + 1/(4x)^2 + 2 - 1$

= $4x^2 + 1/(4x)^2 + 2 xx 2x xx 1/(2x) - 1$

= $( 2x + 1/(2x) + 1)^2 - (1)^2$

= $( 2x + 1/(2x) + 1 )( 2x + 1/(2x) - 1 )$

...