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

Expert Answers
justaguide eNotes educator| Certified Educator

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 | Student

((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

atyourservice | Student

((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 | Student

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 | Student

(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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