Question

Factorise the following.

Answer 1

See the attach file for ur ans

Answer 2

Hi,

1 ) x⁴ + x² +1 + x² - x²

= x⁴ + 2 x² + 1 - x²

=[ ( x² )² + 2 × x² × 1 ] - x²

= ( x² + 1 )² - x²

= ( x² +1 + x ) ( x² +1 - x )

[ Since a² - b² = ( a + b )(a - b ) ]

2 )x⁴ + 4 + 4x² - 4x⁴

= [ ( x² )² + 2² + 2 × x² × 2 ] - ( 2x )²

= ( x² + 2 )² - ( 2x )²

= ( x² + 2 + 2x )( x² +2 - 2x )

I hope this helps you.

:)