Question

factorise 9 x^2 y^2 -16​

Answer 1

Answer:

$9 {x}^{2} {y}^{2} - 16 \\ \\ {(3xy)}^{2} - {4}^{2} \\ \\ (3xy + 4)(3xy - 4) \\ \\ \\ since \\ \\ {x}^{2} - {y}^{2} = (x + y)(x - y)$

Step-by-step explanation:

Hope it helps

Answer 2

Answer:

$\large{\underline{\boxed{\sf (3xy + 4)(3xy - 4)}}}$

Step-by-step explanation:

Given that ;

⇒ 9x²y² - 16

Here,

• 9x²y² = (3xy)²
• 16 = (4)²

So, it can be written as ;

⇒ (3xy)² - (4)²

Using identity -

• a² - b² = (a + b)(a - b)

Here, a = 3xy and b = 4. On Substituting the value of a and b.

⇒ (3xy)² - (4)²

⇒ (3xy + 4)(3xy - 4)

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Hence, the answer is (3xy + 4)(3xy - 4)