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In Mathematics / High School | 2014-05-10

Multiply the polynomials:

\[ (2n + 2)(6n + 1) \]

Asked by Anonymous

Answer (3)

( 2 n + 2 ) ( 6 n + 1 ) 12 n 2 + 2 n + 12 n + 2 12 n 2 + 14 n + 2

Answered by 452 | 2024-06-10

The **multiplication **of the **expression **( 2n + 2 )( 6n + 1 ) is 12n² + 14n + 2.
What is the simplified form of the given expression?
Given the **expression **in the question:
( 2n + 2 )( 6n + 1 )
To multiply the **expression **( 2n + 2 )( 6n + 1 ), we use the **distributive property **and the FOIL method .
( 2n + 2 )( 6n + 1 )
Using the Foil method:
2n( 6n + 1 ) + 2( 6n + 1 )
Using the distributive property:
2n × 6n + 2 × 1 + 2 × 6n + 2 × 1
Multiplying, we get:
12n² + 2n + 12n + 2
Collect and add the like terms:
12n² + 14n + 2
Therefore, the **simplified form **is 12n² + 14n + 2.
Learn more about the **FOIL method **here: brainly.com/question/27980306
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Answered by nuhulawal20 | 2024-06-17

To multiply the polynomials ( 2 n + 2 ) ( 6 n + 1 ) , we use the FOIL method, leading to the final result of 12 n 2 + 14 n + 2 .
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Answered by nuhulawal20 | 2024-10-01