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
katrin [286]
2 years ago
10

What is the GCF of the numerator & denominator below? (x-2)(x+3)/x^2+4x+3

Mathematics
2 answers:
Ganezh [65]2 years ago
6 0

Answer:

Step-by-step explanation:

Factorize the denominator

Sum = 4

Product = 3

Factors = 1 , 3    {1*3 = 3 and  1+3 = 4}

x² + 4x + 3 = <u>x² + x</u>    + <u>3x + 1*3</u>

                 = x(x + 1) + 3(x + 1)

                 = (x + 1)(x + 3)

GCF of the numerator and denominator = (x + 3)

11Alexandr11 [23.1K]2 years ago
3 0

Answer:

GCD of given expressions is (x+3)

Step-by-step explanation:

let's simply the denominator : -

=》

{x}^{2}  + 4x + 3

=》

x {}^{2}  + 3x + x + 3

=》

x(x + 3) + 1(x + 3)

=》

(x + 1)(x + 3)

so, by plugging (x + 1) (x + 3) in denominator,

=》

\frac{(x - 2)(x + 3)}{(x + 1)(x + 3)}

and here, we can see that the only common factor in both numerator and denominator is

(x + 3)

so, GCD = (x + 3)

You might be interested in
HELP I DONT GET THIS AT ALL. ITS ABOUT INEQUALITIES EXPLANATION NEEDED
wel

Answer:

Since the slope of the line is (31/4 - 25/4) / (5/4 - 3/4) = 3 that means that for every 1 that x increases, y increases by 3 so an example could be 1 3/4 for x and 9 1/4 for y.

7 0
3 years ago
In the numerical sentence below, A = 8, D = 1/2 , and F = 1/4. What are the values B, C, and E if the sentence below is equivale
a_sh-v [17]
B=3; C=16; and E=4096.

Using the information we have gives us

8^B \times C^{\frac{1}{2}} = E^{\frac{1}{4}}

We know that:
8^B = 2;&#10;\\&#10;\\C^{\frac{1}{2}}=4;&#10;\\&#10;\\E^{\frac{1}{4}}=8

We know that 2³ = 8, so B = 3.

To "undo" a square root, we square the number; 4²=16, so C = 16.

To "undo" a fourth root, we raise the answer to the fourth power; 8⁴ = 4096, so E = 4096.
3 0
3 years ago
Read 2 more answers
Which is a solution to the equation 6x + y = –4?
KatRina [158]
1. Make y the subject of the equation
y = -4 - 6x


2. Substitute values for guess and check
8 = -4 - (6 x 2)
8 = -4 - 12
This is incorrect.

2 = -4 - (6 x 1)
2 = -4 -6
This is incorrect.

-10 = -4 - (6 x 1)
-10 = -4 -6
This is correct.

The correct answer is C.
7 0
3 years ago
What is the ordered pair after this point is reflected across the y-axis? 4,2
Zepler [3.9K]

Answer:

-4,2

Step-by-step explanation:

a reflection across the y axis means the y values stay the same and the x values change sign

8 0
2 years ago
??/??refuhekfelifhoeiheihfeoifheifheihfeirierierierhierhir
Dimas [21]

Answer:

A= 1/2(2x)(x+7)

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • Describe the first step when factoring any polynomial. Why is this the first step? Explain.
    13·1 answer
  • Match the values associated with this data set to their correct descriptions
    13·2 answers
  • Solve the compound inequality. 4x &gt; -16 or 6x &lt; -48
    12·1 answer
  • A swimming pool has surface area 300m2 the swimming pool is a prism of depth 100cm.
    6·1 answer
  • The Grayson family got a new backyard swimming pool. When they tell their friends how much water it holds, they round the number
    13·1 answer
  • Four times a number x is at least -12<br> an inequality is ?<br> the solution is ?
    12·1 answer
  • HELP PLEASE? AND do anyone got ro blox
    14·2 answers
  • Simplify. 5x^3/7x^3+x^4
    15·1 answer
  • PLEASE HELP, MUST SUBMKT TEST ASAP!!!!!
    15·1 answer
  • “the perimeter of the rectangle below is 58 units. find the length of side AB. write your answer without variables.”
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!