Mister Exam
Other calculators
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How to use it?
- Factor polynomial:
- x^3+64
- x1*x2+x1^2*x3^2+x2*x3
- 49-m^2
- 2*x^3+3*x^2+3*x+1
- Least common denominator:
- ((x^3+y^3)/(x+y))/(x^2-y^2)+(2*y)/(x+y)-(x*y)/(x^2-y^2)
- (y/x-y+x/x+y)/(1/x2/y2)
- ((x*x^(1/2)-x)^3)/(((x^(3/4)-1)/(x^(1/4)-1)-x^(1/2))*(1-x))^3
- (x/sqrt(x^2-8))-(7*x/(x^2-8+7*(sqrt(x^2-8))))
- Factor squared:
- -y^4-14*y^2-2
- x^2-9*x-5
- 2*p^2+3*p-2
- x^2-x-2
- How do you in partial fractions?:
- (t^4+9)/(t^4+9t^2)
- sin^(-1)(sin((9pi)/(8)))
- 2/(x+2)-(2*x-6)/(x+2)^2
- (5*a^2+3*a-2)/(a^2-1)
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Identical expressions
- two /(x+ two)-(two *x- six)/(x+ two)^ two
- 2 divide by (x plus 2) minus (2 multiply by x minus 6) divide by (x plus 2) squared
- two divide by (x plus two) minus (two multiply by x minus six) divide by (x plus two) to the power of two
- 2/(x+2)-(2*x-6)/(x+2)2
- 2/x+2-2*x-6/x+22
- 2/(x+2)-(2*x-6)/(x+2)²
- 2/(x+2)-(2*x-6)/(x+2) to the power of 2
- 2/(x+2)-(2x-6)/(x+2)^2
- 2/(x+2)-(2x-6)/(x+2)2
- 2/x+2-2x-6/x+22
- 2/x+2-2x-6/x+2^2
- 2 divide by (x+2)-(2*x-6) divide by (x+2)^2
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Similar expressions
- 2/(x+2)-(2*x+6)/(x+2)^2
- 2/(x+2)+(2*x-6)/(x+2)^2
- 2/(x+2)-(2*x-6)/(x-2)^2
- 2/(x-2)-(2*x-6)/(x+2)^2
How do you 2/(x+2)-(2*x-6)/(x+2)^2 in partial fractions?
The solution
You have entered
[src]
2 2*x - 6
----- - --------
x + 2 2
(x + 2)
$$- \frac{2 x - 6}{\left(x + 2\right)^{2}} + \frac{2}{x + 2}$$
2/(x + 2) - (2*x - 6)/(x + 2)^2
Fraction decomposition
[src]
10/(2 + x)^2
$$\frac{10}{\left(x + 2\right)^{2}}$$
10
--------
2
(2 + x)
General simplification
[src]
10
--------
2
(2 + x)
$$\frac{10}{\left(x + 2\right)^{2}}$$
10/(2 + x)^2
Numerical answer
[src]
2.0/(2.0 + x) - 0.25*(-6.0 + 2.0*x)/(1 + 0.5*x)^2
2.0/(2.0 + x) - 0.25*(-6.0 + 2.0*x)/(1 + 0.5*x)^2
Common denominator
[src]
10
------------
2
4 + x + 4*x
$$\frac{10}{x^{2} + 4 x + 4}$$
10/(4 + x^2 + 4*x)
Powers
[src]
2 -6 + 2*x
----- - --------
2 + x 2
(2 + x)
$$\frac{2}{x + 2} - \frac{2 x - 6}{\left(x + 2\right)^{2}}$$
2 6 - 2*x
----- + --------
2 + x 2
(2 + x)
$$\frac{6 - 2 x}{\left(x + 2\right)^{2}} + \frac{2}{x + 2}$$
2/(2 + x) + (6 - 2*x)/(2 + x)^2
Assemble expression
[src]
2 -6 + 2*x
----- - --------
2 + x 2
(2 + x)
$$\frac{2}{x + 2} - \frac{2 x - 6}{\left(x + 2\right)^{2}}$$
2/(2 + x) - (-6 + 2*x)/(2 + x)^2
Rational denominator
[src]
2
2*(2 + x) + (2 + x)*(6 - 2*x)
------------------------------
3
(2 + x)
$$\frac{\left(6 - 2 x\right) \left(x + 2\right) + 2 \left(x + 2\right)^{2}}{\left(x + 2\right)^{3}}$$
(2*(2 + x)^2 + (2 + x)*(6 - 2*x))/(2 + x)^3
Combining rational expressions
[src]
10
--------
2
(2 + x)
$$\frac{10}{\left(x + 2\right)^{2}}$$
10/(2 + x)^2
Trigonometric part
[src]
2 -6 + 2*x
----- - --------
2 + x 2
(2 + x)
$$\frac{2}{x + 2} - \frac{2 x - 6}{\left(x + 2\right)^{2}}$$
2/(2 + x) - (-6 + 2*x)/(2 + x)^2