Question

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)

Answer 1

$\sf \longmapsto \: 4x {}^{2} - 9y {}^{2}$

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

$\sf \longmapsto(2x+3y)(2x−3y)$

$\boxed{\sf (2x+3y)(2x−3y)}$

Answer 2

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.