Simplify: –3(y + 2)2 – 5 + 6y What is the simplified product in standard form?
2 answers:
Answer:
-3(y²+4y+4)-5+6y
multiply/distribute
-3y²-12y-12-5+6y
regroup like terms
-3y²-12y+6y-12-5
-3y²-6y-17
that is standard form
Step-by-step explanation:
Standard form, I assume is ay^2+by+c
so expand this stuff
-3(y+2)^2-5+6y
do exponent first
(y+2)^2=(y+2)(y+2)=y²+2y+2y+4=y²+4y+4
now
-3(y²+4y+4)-5+6y
multiply/distribute
-3y²-12y-12-5+6y
regroup like terms
-3y²-12y+6y-12-5
-3y²-6y-17
that is standard form
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