Question

(4x² - 121y²) ÷(2x + 11y)
​

Answer 1

Answer:

4x² - 121y²

2x² - 11y²

( 2x + 11y ) ( 2x - 11y ) ÷ ( 2x + 11y )

( 2x - 11y )

Answer 2

Answer:

2x-11y

Step-by-step explanation:

We Know The Formula

a²-b²=(a+b)(a-b)

Similarly Here the given 4x²-121y² can be expressed as

${(2x)}^{2} - {(11y)}^{2}$

Now by using formula

${(2x)}^{2} - {(11y)}^{2} = (2x + 11y)(2x - 11y)$

Now Given Question,

$\frac{( {4x}^{2} - {121y}^{2} ) }{2x + 11y} = \frac{(2x + 11y)(2x - 11y)}{2x + 11y}$

here 2x+11y gets canceled

Hence remaining term is 2x-11y