1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Anna [14]
3 years ago
6

1. 8y^2-4y+1 divided by 2y-1

Mathematics
1 answer:
____ [38]3 years ago
5 0
Q1. The answer is 4y+ \frac{1}{2y-1}

\frac{8y^{2}-4y+1 }{2y-1} = \frac{4y*2y-4y+1}{2y-1} = \frac{4y(2y-1)+1}{2y-1} = \frac{4y(2y-1)}{2y-1}+ \frac{1}{2y-1} =4y+ \frac{1}{2y-1}


Q2. The answer is 2a+3+ \frac{6}{a-1}

\frac{2 a^{2}+a+3 }{a-1} = \frac{a*2a-2a+3a+3}{a-1} = \frac{2a(a-1)+3a+3}{a-1}=  \frac{2a(a-1)}{a-1}+ \frac{3a+3}{a-1} = \\  \\ =2a+ \frac{3a+3}{a-1}=2a+ \frac{3a-3+3+3}{a-1}=2a+ \frac{3(a-1)+6}{a-1} =2a+ \frac{3(a-1)}{a-1} + \frac{6}{a-1}= \\  \\ =2a+3+ \frac{6}{a-1}
<span>

Q3. The answer is </span>2 x^{2} +5x+2<span>

</span>\frac{6 x^{3} +11 x^{2} -4x-4}{3x-2} = \frac{3x*2 x^{2}-2 x^{2} *2+15 x^{2} -4x-4  }{3x-2} = \frac{2 x^{2} (3x-2)+15 x^{2} -4x-4}{3x-2}= \\  \\ =  \frac{2 x^{2} (3x-2)}{3x-2} + \frac{15 x^{2} -4x-4}{3x-2} =2 x^{2} +\frac{15 x^{2} -4x-4}{3x-2}=2 x^{2} + \frac{15 x^{2} -10x+6x-4}{3x-2}= \\  \\ =2 x^{2} + \frac{5x*3x-5x*2+6x-4}{3x-2} =2 x^{2} + \frac{5x(3x-2)+3x*2-2*2}{3x-2} = \\  \\ =2 x^{2} + \frac{5x(3x-2)}{3x-2}  + \frac{3x*2-2*2}{3x-2} =2 x^{2} +5x+ \frac{2(3x-2)}{3x-2} =2 x^{2} +5x+2
<span>

Q4. The answer is 2x + 7

</span>\frac{6 x^{2} +11x-35}{3x-5} = \frac{6 x^{2} -10x+21x-35 }{3x-5} =  \frac{3 x *2x-5*2x+7*3x-7*5 }{3x-5} = \\  \\ = \frac{2x(3x-5)+7(3x-5)}{3x-5}= = \frac{(3x-5)(2x+7)}{3x-5} =2x+7
<span>

Q5. The answer is </span>x+1- \frac{3}{x-1}<span>
      
</span>\frac{ x^{2} -4}{x-1} = \frac{ x^{2} -x+x-1-3 }{x-1} = \frac{x*x-x+x-1-3}{x-1} = \frac{x(x-1)+(x-1)-3}{x-1} =  \\  \\ \frac{(x+1)(x-1)-3}{x-1} =  \frac{(x+1)(x-1)}{x-1}  -\frac{3}{x-1} =x+1- \frac{3}{x-1}


Q6. The answer is y^{2} -2y+3

\frac{ y^{3}-4 y^{2}+7y-6  }{y-2} = \frac{y* y^{2} -2y^{2}-2 y^{2} +7y-6 }{y-2} = \frac{y^{2}(y-2)-2 y^{2} +7y-6}{y-2}= \\  \\ = \frac{y^{2}(y-2)}{y-2}+   \frac{-2 y^{2} +7y-6}{y-2} = y^{2} + \frac{-2 y^{2} +4y + 3y-6}{y-2} =  \\  \\ =y^{2} + \frac{-2y*y-2y(-2)+3y-3*2}{y-2} = y^{2} + \frac{(-2y)(y-2)+3(y-2)}{y-2} = \\  \\ = y^{2} + \frac{(-2y+3)(y-2)}{y-2} = y^{2} +(-2y+3) =y^{2} -2y+3
<span>

Q7. The answer is </span>x^{2} +xy+ y^{2}}{x-y}<span>

</span>\frac{ x^{3} - \frac{x}{y}  y^{3} }{x-y} =  \frac{(x-y)( x^{2} +xy+ y^{2}) }{x-y} = \frac{ x^{2} +xy+ y^{2}}{x-y}
<span>

Q8. The answer is </span>(a^{2} +2ab+2b^{2})<span>

</span>\frac{a^{4} +4b^{4} }{a^{2}-2ab+2 b^{2} } = \frac{ (a^{2})^{2} +(2b)^{2}}{a^{2}-2ab+2 b^{2}} = \frac{(a^{2} -2ab+2b^{2})(a^{2} +2ab+2b^{2}) }{(a^{2} -2ab+2b^{2})} =(a^{2} +2ab+2b^{2})<span>


Q9. The answer is a^{n-8} - a^{-14}

</span>\frac{ (a^{2}) ^{n} - a^{n-6}  }{ a^{n+8} }= \frac{(a^{2}) ^{n} }{a^{n+8}}- \frac{ a^{n-6} }{a^{n+8}}    \\  \\   (x^{y}) ^{z}= x^{y*z}   \\  \\  \frac{ x^{y} }{ x^{z} } = x^{y-z}  \\  \\ &#10;\frac{(a^{2}) ^{n} }{a^{n+8}}- \frac{ a^{n-6} }{a^{n+8}}  =\frac{a^{2n}  }{a^{n+8}}- \frac{ a^{n-6} }{a^{n+8}}  =  a^{2n-(n+8)} - a^{n-6-(n+8)} = \\  \\ =a^{2n-n-8} - a^{n-6-n-8} = a^{n-8} - a^{-14}
You might be interested in
NEED HELP ASAP ITS TIMED PLEASE HELPPP MEEE❗️❗️
Evgesh-ka [11]

Answer:

hit me up on insta ss.ramonn

Step-by-step explanation:

7 0
3 years ago
What is the product of 2xyz -3yz +4xz
mixas84 [53]
The answer is
Z(2xy-3y+4x)

Hope this helps
3 0
2 years ago
If the shaded sector is 75m what would the area be of the circle? A. 30 B. 36 C.144 D. 108
fredd [130]
The correct answer is letter B
8 0
2 years ago
Answer correct for brainliest and also get a thanks ! :-) please help !!
GREYUIT [131]

 

Y =2x +14

-4x –y = 4 so y = -4x – 4


2x + 14 = -4x – 4

2x + 4x = -4 - 14

6x = -18

x = -18/6

x = -3

Y =2x +14

y = 2(-3) +14

y= -6 +14

y=8


answer:

y-coordinate is 8

3 0
3 years ago
A large research hospital is considering a new computer-based training course for lab safety. The total cost of the hospital's c
Katarina [22]
I need that money to but new nikes
8 0
3 years ago
Read 2 more answers
Other questions:
  • Find the area of the triangle.
    5·1 answer
  • Which integers are greater than –3? Choose all answers that are correct.
    15·2 answers
  • Use the graph to find the local minimum and the local
    5·2 answers
  • What is the total cost of a 150.00 necklace if the sales tax is 6.5%
    12·2 answers
  • Debra is on the swim team. Each week she swims a total of 7000 meters. How many kilometers does she swim each week?
    8·1 answer
  • Parallel and Transversal Lines
    7·1 answer
  • FREE BRAINLIEST IF YOU ANSWER CORRECTLY!! (50pts)
    12·1 answer
  • Determine the domain of the function in the picture below
    11·1 answer
  • If a watch cost $40 and you pay 6.5% sales tax, how much will the tax be
    8·2 answers
  • if the lesser of two consecutive even integers is seven more than half the greater, what are the two integers?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!