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
AveGali [126]
3 years ago
6

Can someone please simplify the complex fraction?

Mathematics
1 answer:
dmitriy555 [2]3 years ago
8 0
\bf \cfrac{\qquad \frac{x+3}{4x^2-16}\qquad }{\frac{2x^2+10x+12}{2x-4}}\implies \cfrac{\frac{x+3}{4(x^2-4)}}{\frac{\underline{2}(x^2+5x+6)}{\underline{2}(x-2)}}\implies \cfrac{\frac{x+3}{4(x^2-2^2)}}{\frac{x^2+5x+6}{x-2}}\implies \cfrac{\frac{x+3}{4(x-2)(x+2)}}{\frac{(x+3)(x+2)}{x-2}}

\bf \cfrac{\underline{x+3}}{4\underline{(x-2)}(x+2)}\cdot \cfrac{\underline{x-2}}{\underline{(x+3)}(x+2)}\implies \cfrac{1}{4(x+2)}\cdot \cfrac{1}{x+2}
\\\\\\
\cfrac{1}{4(x+2)(x+2)}\implies \cfrac{1}{4(x^2+4x+4)}\implies \cfrac{1}{4x^2+16x+16}
You might be interested in
Can someone please help me with this question?
dimulka [17.4K]
Answer: Hahahhahahaha


Explanation:

Ihwhwbwbajbwbausbw ahjw
6 0
3 years ago
15x²y³z÷3xy² simplify
umka21 [38]

Answer:

5xyz

Step-by-step explanation:

\frac{15x^2y^3z}{3xy^2}

Step 1: Divide the numbers

\frac{15}{3}=5\\\\=\frac{5x^2y^3z}{xy^2}

Step 2: Simplify

\frac{x^2}{x}\\\\= x\\\\=\frac{5xy^3z}{y^2}

Step 3: Simplify

\frac{y^3}{y^2} = y\\\\=5xyz

Therefore, the simplified answer is =5xyz

7 0
3 years ago
Read 2 more answers
Two urns contain white balls and yellow balls. The first urn contains 4 white balls and 4 yellow balls and the second urn contai
RideAnS [48]
The probability is 2/40 but do NOT simplify
3 0
3 years ago
Read 2 more answers
A parabola opens down if the value of “blank” is negative in the general form of the equation
Dmitriy789 [7]
General form:
ax² + bx + c = 0

If the leading coefficient "a" is negative the parabola opens downward.
7 0
3 years ago
Read 2 more answers
Sharon measured two apples. The green apple weighed 3/8 pound. The red apple weighed 1/3 pound. Which Apple was heavier? Write a
xxMikexx [17]
3/8 is heavier because if you cross multiply you get 9.
Draw up.
When you cross multiply is 3×3=9 so 3/8 is 9 however 8×1=8 so 1/3 is 8 and 9 is larger than 8.

8 0
3 years ago
Other questions:
  • 2) 3=r+17<br> pls solve for r
    12·1 answer
  • Find vÌ, the orthogonal projection of v onto w. you can't enter vÌ as a variable name in matlab, so call it vbar instead. also c
    11·1 answer
  • S+2t=6. 3s-2t=2<br> Using elimination
    13·1 answer
  • An envelope measures 8 inches by 15 inches. A pencil is placed in
    9·2 answers
  • Expand the linear expression: 3(4x + 3)
    10·2 answers
  • A company has beginning inventory of 20000, purchases of 15000, and ending of 2500. The cost of goods available for sale is?
    12·2 answers
  • Find the value of z.
    8·1 answer
  • Write the range of the function using interval notation.
    7·1 answer
  • 1. Trim is needed around the perimeter of the entire window. Calculate the perimeter of the window.​
    15·1 answer
  • Given <br> m<br> ∥<br> n<br> m∥n, find the value of x.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!