Question

$x^{2} +x^4+25$ factorise it

Answer 1

Hi ,

x² + x⁴ + 25

= x⁴ + 10x² + 25 - 9x²

= ( x² )² + 2 × x² × 5 + 5² - ( 3x )²

= ( x² + 5 )² - ( 3x )²

= ( x² + 5 + 3x ) ( x² + 5 - 3x)

= ( x² + 3x + 5 ) ( x² - 3x + 5 )

I hope this helps you.

:)