Question

factorise no 26 the image is clear so plz answer fast
the hint is add and subtract X2 that means x square....

Answer 1

= x⁴ + 5 x² + 9

By adding and subtracting x².

= x⁴ + 5 x² + 9 + x² - x²

= ( x⁴ + 6 x² + 9 ) -(  x² )

= ( x⁴ + 3 x² + 3 x² + 9 ) - ( x² )

 = { x² ( x² + 3 ) + 3 ( x² + 3 ) } - ( x² )

= { ( x² + 3 ) ( x² + 3 ) } - ( x² )

= ( x² + 3 )² - ( x )²

By using identity { a² - b² = ( a + b ) ( a - b ) }

 = ( x² + 3 + x ) ( x² + 3 - x )

It is the final answer.