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Simplify: ( 36x² - 121 ) ÷ ( 6x + 11 )
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14 votes
Simplify:

( 36x² - 121 ) ÷ ( 6x + 11 )

User Sumeet Sharma
by
6.0k points

2 Answers

4 votes
  • 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
User Zargold
by
7.6k points
10 votes

Answer:


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

User Mrkre
by
6.6k points
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