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