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marissa [1.9K]
3 years ago
7

Subtract the polynomials. ( x^6 -2x^5 –x^3 — 7) – (3x^6 - 3x^5 -2x^ 2 – 5)

Mathematics
1 answer:
Mila [183]3 years ago
5 0

Answer: -2x^6+x^5-x^3-2+2x^2 Hope that helps!

Step-by-step explanation:  

1. Remove Parentheses x^6-2x^5-x^3-7-3x^6+3x^5+2x^2+5

2. Collect like terms (x^6-3x^6)+(-2x^5+3x^5)-x^3+(-7+5)+2x^2

3. Simplify and your answer would be -2x^6+x^5-x^3-2+2x^2

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

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Answer:

27 \frac{2}{3}

Step-by-step explanation:

Ok, so first substitute x for 4 in

"g(x) = 5x + 1", and x for 3 in

"k(x) = 2/x + 2x". Now you got:

g(4) = 5(4) + 1

k(3) = 2/(3) + 2(3)

Now you can solve each individually.

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k(3) = 6 2/3

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Hope this helps :)

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