Answered

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What is the factorization of the expression below?
42 - 9y2
O A. (4x - 3y)(x + 3y)
B. (4x-3y)(x - 3y)
O C. (2x-3)(2x-3y)
O D. (2x-3)(2x + 3y)

What Is The Factorization Of The Expression Below 42 9y2 O A 4x 3yx 3y B 4x3yx 3y O C 2x32x3y O D 2x32x 3y class=

Sagot :

Sᴘᴀᴄᴇ7

[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]

Itz5151

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.

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