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
Ket [755]
3 years ago
12

How do I solve this

Mathematics
1 answer:
sdas [7]3 years ago
3 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{2x}{x^2+2x-24}-\cfrac{x}{x^2-36}\quad 
\begin{cases}
x^2+2x-24\implies (x+6)(x-4)\\
--------------\\
x^2-36\implies x^2-6^2\\
(x-6)(x+6)
\end{cases}

\bf \cfrac{2x}{(x+6)(x-4)}-\cfrac{x}{(x-6)(x+6)}\impliedby 
\begin{array}{llll}
\textit{thus our LCD is}\\
(x-6)(x+6)(x-4)
\end{array}
\\\\\\
\cfrac{[(x-6)2x]~-~[(x-4)x]}{(x-6)(x+6)(x-4)}\implies \cfrac{2x^2-12x-x^2+4x}{(x-6)(x+6)(x-4)}
\\\\\\
\cfrac{x^2-8x}{(x-6)(x+6)(x-4)}
You might be interested in
2x2 - 4x –9 = 0<br> Completing the swuare
ASHA 777 [7]

Step-by-step explanation:

(a-b)^2=a^2-2ab+b^2\\\\2x^2-4x-9=0\qquad|\text{add 9 to both sides}\\\\2x^2-4x-9+9=0+9\\\\2x^2-4x=9\qquad|\text{divide both sides by 2}\\\\\dfrac{2x^2}{2}-\dfrac{4x}{2}=\dfrac{9}{2}\\\\x^2-2x=4.5\\\\x^2-2\cdot x\cdot1=4.5\qquad|\text{add}\ 1^2\ \text{to both sides}\\\\x^2-2\cdot x\cdot1+1^2=4.5+1^2\\\\(x-1)^2=5.5\iff x-1=\pm\sqrt{5.5}\qquad|\text{add 1 to both sides}\\\\x=1-\sqrt{5.5}\ \vee\ x=1+\sqrt{5.5}

4 0
3 years ago
What mixed number is equal to 6.75
Juliette [100K]
6 3/4 would be your answer
5 0
3 years ago
Subtract 55 from the sum of 243 and 8
Igoryamba

Answer:

the answer is 196

243+8=251

251-55=196

Step-by-step explanation:

hope this helps plz mark brainiest :)

8 0
2 years ago
What does the abbreviation for the Latin phrase Anno Domini refer to?
V125BC [204]

Answer:

I believe the answer is C. The years during Jesus Christ's lifetime. But I might be wrong. I'm sorry if I am.

Step-by-step explanation:


4 0
3 years ago
The answer to this question.
mariarad [96]

Answer:

Number 3

Step-by-step explanation:

there are 4 multiplication terms that requires you to multiply then add them so its number 3

8 0
3 years ago
Other questions:
  • If Tanø =a/b Find the value of sinø+cosø/sinø-cosø
    15·1 answer
  • Can someone explain to me what a “derivative” means? How do you find the derivative of f(x)=x^3+1?
    9·1 answer
  • Find the height of the pole if the shadow of a boy 5 ft. 6 in. tall is 2 ft. and the shadow of the pole is 2 yards.
    15·1 answer
  • I need help on this and please show work
    9·1 answer
  • What fraction is greater 1/2 or 6/11
    13·1 answer
  • Picture is below (brainliest)
    7·1 answer
  • Polygon ABCD goes through a sequence of rigid transformations to form polygon A′B′C′D′. The sequence of transformations involved
    14·1 answer
  • Mary bought a purse which was marked at 25% off. The original price of the purse was
    7·2 answers
  • By selling a chair for RS720 a garden gains be consumed by 40 horses​
    11·1 answer
  • Determine if the relationships are linear and if so are they proportional
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!