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
Arada [10]
3 years ago
9

Assuming that $3u + 12v\neq0$, simplify $\dfrac{12u^3 + 48u^2v}{3u+12v}$.

Mathematics
1 answer:
Kay [80]3 years ago
5 0

Answer:

  4u²

Step-by-step explanation:

  \dfrac{12u^3 + 48u^2v}{3u+12v}=\dfrac{12u^2(u+4v)}{3(u+4v)}=\boxed{4u^2}

Common factors cancel from numerator and denominator. The one factor that might make the expression undefined is given as non-zero, so no additional restrictions apply.

You might be interested in
3. Use compass and straightedge to bisect T. Describe your process carefully and clearly.
Reptile [31]
Check the picture attached

let the rays forming angle T be ray 1 and ray 2

Draw a circle with center point T. Let the intersection of the circle with rays 1 and 2 be at points A and B respectively.

Draw 2 circles with centers A and <span>B so that:

The radii (radius'es) are equal, and they are large enough to intersect.

Denote the intersection of these 2 circles with C.

Join T to C. The line through T and C is the bisector.</span>

3 0
3 years ago
80 is 40 percent of what number?
77julia77 [94]
0.4a=80 ----- ----- 0.4 0.4 a=200 Where a is the number times 40%, which is 0.4 in decimal form.
3 0
3 years ago
Read 2 more answers
Distribute5x (3x + 7)
stiv31 [10]
The answer will be as shown in the pic 15x^(2) +35x

4 0
3 years ago
Which is the first step in simplifying the expression?
Elenna [48]
\dfrac{3}{2 +  \sqrt{2} }

To rationalise the denominator, this is a standard step:
= \dfrac{3}{2 + \sqrt{2} } \times  \dfrac{2 - \sqrt{2}}{2 - \sqrt{2}}

Answer: Option A

---------------------------------------------------------------------------------------------------

Let me continue to complete the question, though it is not ask for

= \dfrac{3(2 - \sqrt{2})}{(2 + \sqrt{2)}(2 - \sqrt{2}) }

= \dfrac{3(2 - \sqrt{2})}{4 - 2 }

= \dfrac{6 - 2\sqrt{2}}{2 }
5 0
3 years ago
Read 2 more answers
Please help I'm really stuck
Anit [1.1K]
First factor the numerator
b^2-6b+8/b-4  * b+8/b-2

u will get
(b-2)(b-4)/(b-4)*(b-2)*b+8
those will cancel out each other will left only
b+8<span />
7 0
3 years ago
Other questions:
  • PLEASE HELP ME I WILL GIVE BRAINLIEST
    5·1 answer
  • 10 POINT for 2 SHORT questions,SHORT explanations will do perfectly. also this is for something timed so help asap would be grea
    8·1 answer
  • Explanation thanks!<br> Just need help getting started
    11·1 answer
  • A motorbike travels 45 miles in 15 minutes, what is its speed ???? help ASAP please
    8·2 answers
  • Find the lesser of two consecutive integers with a sum greater than 16.
    6·2 answers
  • How many roots do the following equations have?<br><br> -12x2 - 25x + 5 + x3 = 0
    12·2 answers
  • The endpoints of a side of rectangle ANCD in the coordinate plane are at A(3,5) and B(5,1). Find the equation of the kind that c
    11·1 answer
  • What is the equation of the line that passes through the point (-3, 4) and has a slope of 1/3?​
    7·1 answer
  • Every day, Kim practices volleyball and clarinet. Each day, she practices volleyball for 2.5 hours. If after 8 days she practice
    7·1 answer
  • A movie theater is holding a contest for people who are in line before 7 p.m. The people who are within eight places of the 99th
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!