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Musya8 [376]
3 years ago
6

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

Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
6 0

Answer by Mimiwhatsup:

\mathrm{Multiply\:the\:numbers:}\:3\cdot \:2=6\\=-6\left(y+2\right)-5+6y\\-6\left(y+2\right)\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac\\a=-6,\:b=y,\:c=2\\=-6y+\left(-6\right)\cdot \:2\\Apply\:minus-plus\:rules\\+\left(-a\right)=-a\\=-6y-6\cdot \:2\\\mathrm{Multiply\:the\:numbers:}\:6\cdot \:2=12\\=-6y-12\\=-6y-12-5+6y\\\mathrm{Simplify}\:-6y-12-5+6y\\Group\:like\:terms\\=-6y+6y-12-5\\\mathrm{Add\:similar\:elements:}\:-6y+6y=0\\=-12-5\\

\mathrm{Subtract\:the\:numbers:}\:-12-5=-17\\Answer is: =-17

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