Ask question

Ask question

All categories

Black_prince [1.1K]

2 years ago

14

Subtract: 4x/x^2-25 - 2/x^2+2x-15

1 answer:

Alex777 [14]2 years ago

4 0

Answer: $\dfrac{4x^2-14x+10}{(x-5)(x+5)(x-3)}$

Step-by-step explanation:

Given

Subtract the expression

$\Rightarrow \dfrac{4x}{x^2-25}-\dfrac{2}{x^2+2x-15}\\\\\Rightarrow \dfrac{4x}{(x-5)(x+5)}-\dfrac{2}{x^2+5x-3x-15}\\\\\Rightarrow \dfrac{4x}{(x-5)(x+5)}-\dfrac{2}{(x+5)(x-3)}\\\\\text{Take the LCM and subtract}\\\\\Rightarrow \dfrac{4x(x-3)-2(x-5)}{(x-5)(x+5)(x-3)}\\\\\Rightarrow \dfrac{4x^2-12x-2x+10}{(x-5)(x+5)(x-3)}\\\\\Rightarrow \dfrac{4x^2-14x+10}{(x-5)(x+5)(x-3)}$

You might be interested in

Determine whether each of the following sequences are arithmetic, geometric or neither. If arithmetic, state the common differen

PilotLPTM [1.2K]

$\qquad\qquad\huge\underline{{\sf Answer}}$

$\textbf{Let's see if the sequence is Arithmetic or Geometric :}$

$\textsf{If the ratio between successive terms is }$ $\textsf{equal then, the terms are in GP}$

$\sf{ \dfrac{12}{-4} = -3}$

$\sf{ \dfrac{-36}{12} = -3}$

$\textsf{Since the common ratio is same, }$ $\textsf{we can infer that it's a geometric progression}$ $\textsf{with common ratio of -3}$

3 0

2 years ago

Read 2 more answers

One number is 2 less than a second number. Twice the second number is 17 less than 5 times the first

gulaghasi [49]

X=y-2
2y=5x-17
Substituting for x into the second equation, we find
2y=5(y-2)-17
2y=5y-10-17
-3y=-27
y=9
So x=7
Thus, the two numbers are 7 and 9.

4 0

3 years ago

The quotient of a number and 4 is at most 5

gladu [14]

N/4 less than or equal to 5

5 0

3 years ago

I need to know the percent!

Anton [14]

6/12=1/2
Therefore 6/12 is equal to 50/100 or 50%

4 0

3 years ago

Read 2 more answers

Type the correct answer in each box, Write the coordinates in the form (x, y). If necessary, use / for the fraction bar(s).

Blizzard [7]

Answer:

point a are (-10,-4) and point I are (-3.875,-10.125)

Step-by-step explanation:

8 0

3 years ago