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
timofeeve [1]
3 years ago
10

Dividing rational expressions

Mathematics
1 answer:
Galina-37 [17]3 years ago
5 0
\bf \textit{difference of squares}
\\ \quad \\
(a-b)(a+b) = a^2-b^2\qquad \qquad 
a^2-b^2 = (a-b)(a+b)\\\\
-----------------------------\\\\
\cfrac{x+3}{x^2-2x}\cdot \cfrac{(x-2)^2}{x^2-9}\implies \cfrac{x+3}{x^2-2x}\cdot \cfrac{(x-2)(x-2)}{x^2-3^2}
\\\\\\
\cfrac{x+3}{x(x-2)}\cdot \cfrac{(x-2)(x-2)}{x^2-3^2}\implies \cfrac{\underline{x+3}}{x\underline{(x-2)}}\cdot \cfrac{\underline{(x-2)}(x-2)}{(x-3)\underline{(x+3)}}
\\\\\\
\cfrac{x-2}{x(x-3)}\iff\cfrac{x-2}{x^2-3x}
You might be interested in
Choose the equation below that represents the line that passes through the point (2, 4) and has a slope of 3.
enot [183]
The first one is correct because the form is y-y1=m(x-x1)
8 0
3 years ago
Read 2 more answers
NEED HALP!!! Find the ordered pair $(s,t)$ that satisfies the system
satela [25.4K]

Answer:

(-8/7 ; 5/7)

Step-by-step explanation:

5t + 1/2s = 3 - - - (1)

3t - 6s = 9 - - - - - (2)

Multiply (1) by 12 and (2) by 1

Add the result to eliminate s

60t + 6s = 36

3t - 6s = 9

____________

63t = 45

t = 45 / 63

t = 5/7

Put t = 5/7 in either (1) or (2) to obtain the value of s

3(5/7) - 6s = 9

15/7 - 6s = 9

-6s = 9 - 15/7

-6s = (63 - 15)/7

-6s = 48/7

s = 48/7 * - 1/6

s = - 8/7

5 0
3 years ago
Help please i give the best one brainlyest
pentagon [3]

Answer:

The algebraic expression has one constant, 10.2, which is a number by itself. The variables, which are letters that stand for unknown values, are x and y. The coefficients, which are numbers that are multiplied to the variables, are

-1, -1/2, and 1. The terms that have an x are like terms.

Step-by-step explanation:hope this helps

7 0
3 years ago
A store sells T-shirts $10 each and jeans for $20 a pair. Anna spends $150 for T-shirts and jeans. she buys x T-shirts and y pai
galben [10]
10x+20y=150 is the equation I don't quite understand how she would have money left because she spend $150 for her t-shirts and jeans.
4 0
3 years ago
In a restaurant there are 3 choices for appetizers, 6 choices for entrees, and 4 choices for desserts. How many different meal c
Genrish500 [490]

Answer:

72 dessert options available

Step-by-step explanation:

3*6*4=72

6 0
4 years ago
Other questions:
  • During a period of 14 minutes, a music station played 2 minutes of commercials. What is the ratio of music they played to commer
    10·2 answers
  • What is 1 1/4 + -3 5/6
    13·1 answer
  • If cut a pie into 10 equal size pieces, and then I of those pieces, what is the numerator and the denominator of the fraction re
    5·1 answer
  • What is the slope and y intercept of this line y=-2x 8?
    7·2 answers
  • Change 225° to radian measure in terms of pi​
    9·1 answer
  • How do you solve this to find r?
    12·1 answer
  • Plzzzzzz help me I need _____CORRECT_____ answers ASAP!!!!!!!!!! Plzzzzzz HURRY.​
    12·1 answer
  • Find the length of “ A “ to the nearest tenth, using the Pythagorean theorem.
    9·1 answer
  • A school carnival is having a dunk tank. The graph shows the temperature, t, in Fahrenheit after h hours.
    10·1 answer
  • Hi looking for help
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!