Question

Simplify: -3(y + 2)^2– 5 + 6y
What is the simplified product in standard form?

Answer 1

-3y^2 - 6y - 17

Explanation:

-3(y + 2)^2 - 5 + 6y =

Expand the square of the binomial.

= -3(y + 2)(y + 2) - 5 + 6y

Use FOIL to multiply the binomials.

= -3(y^2 + 2y + 2y + 4) - 5 + 6y

Combine like terms inside the parentheses.

= -3(y^2 + 4y + 4) - 5 + 6y

Distribute the -3.

= -3y^2 - 12y - 12 - 5 + 6y

Combine like terms.

= -3y^2 - 6y - 17

Answer 2

-3(y²+4y+4) - 5 +6y

-3y² - 12y - 12 -5 + 6y

-3y² -6y -17

-(3y²+6y+17)