Question

Factorize: x⁴+x² +25.

Answer 1

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Answer:  HERE YOU HAVE IT MATE!

x⁴+10x² - 9x² +25.

= (x⁴+10x² +25) - 9x²

since (a+b)²  = a²  + 2ab + b²

= (x² +5)² -9x²

since a² - b² = (a-b)(a+b)

= [(x² +5) -9x] [(x² +5) +9x]

= [x² +5 -9x] [x² +5 +9x]

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