All categories

3 years ago

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

Mathematics

1 answer:

Alex777 [14]3 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

What is the conversion factor to convert cups to liters?

Gemiola [76]

Answer:

0.2365882365 L/cup

Step-by-step explanation:

The conversion factor can be found from the size of a cup in relation to a gallon, and the size of a cubic inch in relation to a liter.

$1\,\text{cup}=8\,\text{fl oz}\times\dfrac{231\,in^{3}}{128\,\text{fl oz}}\times\left(\dfrac{0.254\,\text{dm}}{1\,\text{in}}\right)^{3}\times\dfrac{1\,L}{1\,dm^{3}}\\\\=\dfrac{8\cdot 231\cdot 0.254^{3}}{128}\,L=0.2365882365\,L$

3 0

3 years ago

If g (x)=2x + 1, find g (a + h)- g (a).

Amiraneli [1.4K]

I hope this helps you

6 0

4 years ago

The distance of planet Mercury from the Sun is approximately 5.8 ⋅ 107 kilometers, and the distance of planet Venus from the Sun

slega [8]

Answer:

5.2

Step-by-step explanation:

distance(Mercury, Sun) = 5.8 x 10^7

distance(Venus, Sun) = 1.1 x 10^8

distance(Venus, Mars) = 1.1 x 10^8 - 5.8 x 10^7

The subtraction is a little easier if you borrow a power of 10 from the 10^8, multiplying 1.1 by 10.

simply subtract 5.8 from 11.0.

This gives us a result of 5.2 x 10^7.

6 0

4 years ago

Read 2 more answers

We are interested in the dimensions of a certain square. A rectangle has a length of 5 units more than the side of the square an

JulijaS [17]

Lets consider the side of square be 'x' units
So as per data,
Length of rectangle is x+5
Breadth of rectangle is x/2

and also as per data, the areas of rectangle and square are equal.
Area of rectangle = Length * Breadth = (x+5)*x/2 = $( x^{2} +5x)/2$ <- equation1
Area of square = Side* Side= x*x = $x^{2}$ <- equation2

As per given data, Equation1 and equation 2 are equal
so
$( x^{2} +5x)/2$ = tex] x^{2} [/tex]
$x^{2} +5x = 2 x^{2}$
$2 x^{2} - x^{2} = 5x$
$x^{2} = 5x$
x = 5

So the side of square = 5 units

For Square, both dimensions are equal.

4 0

3 years ago

Read 2 more answers

Which type of sampling method is being employed in the following example? A study is being conducted of all schools in Gwinnett

ExtremeBDS [4]

Answer:

It is cluster

Step-by-step explanation:

because it is a group of people

4 0

4 years ago