Question

multiplying polynomials and simplifying expressions
instruction active
simplifying an algebraic expression
simplify: (-3(y + 2)^2 - 5 + 6y)
what is the simplified product in standard form?
(square y^2 + square y + square)

Explanation:

Step1: Expand the squared binomial

$(y+2)^2 = y^2 + 4y + 4$

Step2: Distribute the -3 to the expanded terms

$-3(y^2 + 4y + 4) = -3y^2 -12y -12$

Step3: Combine all terms in the expression

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

Step4: Combine like terms

$-3y^2 + (-12y+6y) + (-12-5) = -3y^2 -6y -17$

Answer:

$-3$ $y^2 +$ $-6$ $y +$ $-17$