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উৎপাদকে বিশ্লেষণ কর: $4a^2-12ab+9b^2-4c^2$

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উৎপাদকে বিশ্লেষণ কর: $4a^2-12ab+9b^2-4c^2$

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$4a^2-12ab+9b^2-4c^2$

$=(2a)^2-2\cdot2a\cdot3b+(3b)^2-4c^2$

$=(2a-3b)^2-(2c)^2$

$=\{(2a-3b)+2c\}\{(2a-3b)-2c\}$

$=(2a-3b+2c)(2a-3b-2c)$ [Answer]
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Rules Applied :

  • $a^2-2ab+b^2=(a-b)^2$
  • $a^2-b^2=(a+b)(a-b)$

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