Mister Exam
Other calculators
-
How to use it?
- Factor polynomial:
- a^2+8*a+16
- x^4-81
- y^2-81
- u^2+2*u*v+v^2
- Least common denominator:
- (x1/3-y1/3)/(x+y)+1/(x2/3-x1/3*y1/3+y2/3)
- n*((1+p)^k+p^k*log(p)+(1+p)^k*(k+1)*log(1+p))/k-n*(p^k+(k+1)*(1+p)^k)/k^2
- (k1*p*(k4*(t4*p+1))+k2/p)*k5*p+(k1*p)*(k3/(t3*p+1))
- a3*b3/a3-a2*b*b2-a2/4*ab2
- Factor squared:
- -q^4-4*q^2+5
- -9*p^2-5*p-4
- 8*x^4-14*x^2-3
- x^2-x*a+4*a^2
- How do you in partial fractions?:
- 3*x^2/(8-x^4)+4*x^6/(8-x^4)^2
- (x^3+12*x)*(x/(2*(x^3+12*x))+(-12-3*x^2)*(x^2+4)/(4*(x^3+12*x)^2))/(x^2+4)
- 1/(n*(n+1)*(n+2))
- (x^2+2x-15)/(x+5)
-
Identical expressions
- three *x^ two /(eight -x^ four)+ four *x^ six /(eight -x^ four)^ two
- 3 multiply by x squared divide by (8 minus x to the power of 4) plus 4 multiply by x to the power of 6 divide by (8 minus x to the power of 4) squared
- three multiply by x to the power of two divide by (eight minus x to the power of four) plus four multiply by x to the power of six divide by (eight minus x to the power of four) to the power of two
- 3*x2/(8-x4)+4*x6/(8-x4)2
- 3*x2/8-x4+4*x6/8-x42
- 3*x²/(8-x⁴)+4*x⁶/(8-x⁴)²
- 3*x to the power of 2/(8-x to the power of 4)+4*x to the power of 6/(8-x to the power of 4) to the power of 2
- 3x^2/(8-x^4)+4x^6/(8-x^4)^2
- 3x2/(8-x4)+4x6/(8-x4)2
- 3x2/8-x4+4x6/8-x42
- 3x^2/8-x^4+4x^6/8-x^4^2
- 3*x^2 divide by (8-x^4)+4*x^6 divide by (8-x^4)^2
-
Similar expressions
- 3*x^2/(8-x^4)+4*x^6/(8+x^4)^2
- 3*x^2/(8+x^4)+4*x^6/(8-x^4)^2
- 3*x^2/(8-x^4)-4*x^6/(8-x^4)^2
How do you 3*x^2/(8-x^4)+4*x^6/(8-x^4)^2 in partial fractions?
The solution
You have entered
[src]
2 6
3*x 4*x
------ + ---------
4 2
8 - x / 4\
\8 - x /
$$\frac{3 x^{2}}{8 - x^{4}} + \frac{4 x^{6}}{\left(8 - x^{4}\right)^{2}}$$
(3*x^2)/(8 - x^4) + (4*x^6)/(8 - x^4)^2
General simplification
[src]
2 / 4\
x *\24 + x /
------------
2
/ 4\
\-8 + x /
$$\frac{x^{2} \left(x^{4} + 24\right)}{\left(x^{4} - 8\right)^{2}}$$
x^2*(24 + x^4)/(-8 + x^4)^2
Fraction decomposition
[src]
x^2/(-8 + x^4) + 32*x^2/(-8 + x^4)^2
$$\frac{x^{2}}{x^{4} - 8} + \frac{32 x^{2}}{\left(x^{4} - 8\right)^{2}}$$
2 2
x 32*x
------- + ----------
4 2
-8 + x / 4\
\-8 + x /
Numerical answer
[src]
0.0625*x^6/(1 - 0.125*x^4)^2 + 3.0*x^2/(8.0 - x^4)
0.0625*x^6/(1 - 0.125*x^4)^2 + 3.0*x^2/(8.0 - x^4)
Rational denominator
[src]
2
2 / 4\ 6 / 4\
3*x *\8 - x / + 4*x *\8 - x /
------------------------------
3
/ 4\
\8 - x /
$$\frac{4 x^{6} \left(8 - x^{4}\right) + 3 x^{2} \left(8 - x^{4}\right)^{2}}{\left(8 - x^{4}\right)^{3}}$$
(3*x^2*(8 - x^4)^2 + 4*x^6*(8 - x^4))/(8 - x^4)^3
Assemble expression
[src]
2 6
3*x 4*x
------ + ---------
4 2
8 - x / 4\
\8 - x /
$$\frac{4 x^{6}}{\left(8 - x^{4}\right)^{2}} + \frac{3 x^{2}}{8 - x^{4}}$$
3*x^2/(8 - x^4) + 4*x^6/(8 - x^4)^2
Powers
[src]
2 6
3*x 4*x
------ + ---------
4 2
8 - x / 4\
\8 - x /
$$\frac{4 x^{6}}{\left(8 - x^{4}\right)^{2}} + \frac{3 x^{2}}{8 - x^{4}}$$
3*x^2/(8 - x^4) + 4*x^6/(8 - x^4)^2
Common denominator
[src]
6 2
x + 24*x
---------------
8 4
64 + x - 16*x
$$\frac{x^{6} + 24 x^{2}}{x^{8} - 16 x^{4} + 64}$$
(x^6 + 24*x^2)/(64 + x^8 - 16*x^4)
Trigonometric part
[src]
2 6
3*x 4*x
------ + ---------
4 2
8 - x / 4\
\8 - x /
$$\frac{4 x^{6}}{\left(8 - x^{4}\right)^{2}} + \frac{3 x^{2}}{8 - x^{4}}$$
3*x^2/(8 - x^4) + 4*x^6/(8 - x^4)^2
Combinatorics
[src]
2 / 4\
x *\24 + x /
------------
2
/ 4\
\-8 + x /
$$\frac{x^{2} \left(x^{4} + 24\right)}{\left(x^{4} - 8\right)^{2}}$$
x^2*(24 + x^4)/(-8 + x^4)^2
Combining rational expressions
[src]
2 / 4\
x *\24 + x /
------------
2
/ 4\
\8 - x /
$$\frac{x^{2} \left(x^{4} + 24\right)}{\left(8 - x^{4}\right)^{2}}$$
x^2*(24 + x^4)/(8 - x^4)^2