Question

Simplify:

( 36x² - 121 ) ÷ ( 6x + 11 )

Answer 1

• 36x²-121/6x+11
• (6x)²-(11)²/6x+11

(a+b)(a-b)=a²-b²

• (6x+11)(6x-11)/6x+11

Cancel 6x+11

• 6x-11

Answer 2

`6x-11`

Explanation:

Factor the numerator
`36x^2-121`:

`\implies 36x^2-121=(6x+11)(6x-11)`

Therefore,

`(36x^2-121)/(6x+11)=((6x+11)(6x-11))/(6x+11)`

Cancel the common factor
`(6x + 11)`:

`\implies((6x+11)(6x-11))/(6x+11)=6x-11`

Therefore,

`(36x^2-121)/(6x+11)=6x-11`