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উৎপাদকে বিশ্লেষণ কর: $4x^4-27x^2-81$

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উৎপাদকে বিশ্লেষণ কর: $4x^4-27x^2-81$

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$4x^4-27x^2-81$

$=4x^4-36x^2+9x^2-81$

$=4x^2(x^2-9)+9(x^2-9)$

$=(x^2-9)(4x^2+9)$

$=(x^2-3^2)(4x^2+9)$

$=(x+3)(x-3)(4x^2+9)$ [Answer]
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Rules Applied:

  • $a^2-b^2=(a+b)(a-b)$

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