Question 392500
factored:


(4y^(3)+7y^(2)-y-10)-(y^(2)-5y+6)

Multiply -1 by each term inside the parentheses.
4y^(3)+7y^(2)-y-10-y^(2)+5y-6

Since 7y^(2) and -y^(2) are like terms, add -y^(2) to 7y^(2) to get 6y^(2).
4y^(3)+6y^(2)-y-10+5y-6

Since -y and 5y are like terms, subtract 5y from -y to get 4y.
4y^(3)+6y^(2)+4y-10-6

Subtract 6 from -10 to get -16.
4y^(3)+6y^(2)+4y-16

Factor out the GCF of 2 from each term in the polynomial.
2(2y^(3))+2(3y^(2))+2(2y)+2(-8)

Factor out the GCF of 2 from 4y^(3)+6y^(2)+4y-16.
2(2y^(3)+3y^(2)+2y-8)


simplied:


(4y^(3)+7y^(2)-y-10)-(y^(2)-5y+6)

Multiply -1 by each term inside the parentheses.
4y^(3)+7y^(2)-y-10-y^(2)+5y-6

Since 7y^(2) and -y^(2) are like terms, add -y^(2) to 7y^(2) to get 6y^(2).
4y^(3)+6y^(2)-y-10+5y-6

Since -y and 5y are like terms, subtract 5y from -y to get 4y.
4y^(3)+6y^(2)+4y-10-6

Subtract 6 from -10 to get -16.
4y^(3)+6y^(2)+4y-16