Math, asked by lakshyapant12jun2007, 1 day ago

x⁴+5x²+9 factorise
please help and don't write wrong answer. tomorrow is my test .​

Answers

Answered by lovingharshika2020
117

\bigstar \large\fbox\red{ \: ᭄ꦿ᭄Answer࿐} \bigstar

Given, x⁴ + 5x² + 9 to factorise

= x⁴ + 6x² + 9 - x²

= [(x²)² + 2×3×(x²) + 3²] - (x)²

= (x² + 3)² - x²

It is in the form of a²-b² which can be written as (a+b)(a-b)

= (x²+3-x)(x²+3+x)

∴ x⁴+5x²+9 = (x²+3-x)(x²+3+x)

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Answered by nishtha12112007
2

Answer:

see attachment

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