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Answer :

[tex]\sf \longmapsto \: 4x {}^{2} - 9y {}^{2} [/tex]

  • There are no like terms so we can't simplify it
  • Factoring

[tex]\sf \longmapsto(2x+3y)(2x−3y)[/tex]

[tex] \boxed{\sf (2x+3y)(2x−3y)}[/tex]

Answer:

Choice D

Step-by-step explanation:

Factorise: 4x²-9y²

We can obtain the factorization by this identity:

  • a² - b² = (a+b)(a-b)

Rewrite the given expression as:

  • (2x)² - (3y)²

Let (2x)² be a and (3y)² be b according to the identity.

So applying the identity:

  • (2x+3y)(2x-3y)
  • (2x-3y)(2x+3y)

Choice D is accurate.