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

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justaguide's profile pic

justaguide | College Teacher | (Level 2) Distinguished Educator

Posted on

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

givingiswinning's profile pic

givingiswinning | Student, Grade 10 | (Level 1) Valedictorian

Posted on

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

distribute the termsĀ 

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

combine like termsĀ 

8y^2 + 12y

atyourservice's profile pic

atyourservice | Student, Grade 11 | (Level 3) Valedictorian

Posted on

((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

maixilee's profile pic

maixilee | Student, Grade 10 | (Level 1) eNoter

Posted on

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.

abhishekwillrock's profile pic

abhishekwillrock | Student, Grade 9 | eNotes Newbie

Posted on

(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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