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Simplify: (2y+4) (3y+1) + (y+1) (2y-4)

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katiegoodluck | Student, Grade 9 | eNotes Newbie

Posted March 7, 2012 at 9:06 PM via web

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Simplify: (2y+4) (3y+1) + (y+1) (2y-4)

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted March 7, 2012 at 9:51 PM (Answer #1)

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The expression (2y+4)(3y+1) + (y+1)(2y-4) has to be simplified.

(2y+4)(3y+1) + (y+1)(2y-4)

=> 6y^2 + 2y + 12y + 4 + 2y^2 + 2y - 4y - 4

=> 8y^2 + 12y

The simplified form of (2y+4)(3y+1) + (y+1)(2y-4) is 8y^2 + 12y

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abhishekwillrock | Student, Grade 9 | eNotes Newbie

Posted March 7, 2012 at 9:21 PM (Answer #2)

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(2y +4)*(3y+1)+(y+1)(2y-4)

= [(6ysquare+2y)+(12y+4)]+[(2ysquare-4y)+(2y-4)]

=8ysquare+10y

is the answer

hope it helps u

cheers!!!

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maixilee | Student, Grade 10 | eNoter

Posted March 8, 2012 at 5:28 AM (Answer #3)

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just like how you would do above, all you do is simplify the numbers and letters that are the same. if you do the opposite, it will not work therefore, that answer will remain the same.

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atyourservice | TA , Grade 10 | Valedictorian

Posted August 15, 2014 at 12:59 AM (Answer #4)

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((2y+4)(3y+1)) + ((y+1)(2y-4))

distribute the terms above to the other parenthesis you should end up with:

6y^2 + 2y + 12y + 4 + 2y^2+ 2y - 4y - 4

combine like terms and you should end up with:

8y^2 + 12y

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givingiswinning | TA , Grade 10 | Valedictorian

Posted August 15, 2014 at 10:55 PM (Answer #5)

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((2y+4)(3y+1)) + ((y+1)(2y-4))

distribute the terms 

6y^2 + 2y + 12y + 4 + 2y^2+ 2y - 4y - 4

combine like terms 

8y^2 + 12y

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