Mister Exam
Other calculators
-
How to use it?
- Factor polynomial:
- x^8-4
- y^5-32
- c^3-d^3
- x^8-y^8
- Least common denominator:
- x^4/4+x+2+x^4/4+x+2
- (x*(x-1)^2)^(1/3)*((x-1)^2/3+x*(-2+2*x)/3)/(x*(x-1)^2)
- ((x*x-11*x+30)/(x*x-9*x+20))/((x*x-36)/(x*x-16))
- ((x^-6-64)/(4+2*x^-1+x^-2))*(x^2/(4-4/x+1/x^2))-(4*x^2*(2*x+1))/(1-2*x)
- Factor squared:
- x^2-x-2
- -y^2-4*y-3
- -8*p^2+6*p+1
- x^2+x-6
- How do you in partial fractions?:
- (5*a^2+3*a-2)/(a^2-1)
- ((2*x+10)/(3*x))/(2*x^2+20*x+50*x)
- y/(b*y-2*b^2)-2/(y^2+y-2*b*y-2*b)*(1+(3*y+y^2)/(3+y))
- (u^2-4*u+16)/(16*u^2-1)*(4*u^2+u)/(u^3+64)
- Least common denominator:
- (u^2-4*u+16)/(16*u^2-1)*(4*u^2+u)/(u^3+64)
-
Identical expressions
- (u^ two - four *u+ sixteen)/(sixteen *u^ two - one)*(four *u^ two +u)/(u^ three + sixty-four)
- (u squared minus 4 multiply by u plus 16) divide by (16 multiply by u squared minus 1) multiply by (4 multiply by u squared plus u) divide by (u cubed plus 64)
- (u to the power of two minus four multiply by u plus sixteen) divide by (sixteen multiply by u to the power of two minus one) multiply by (four multiply by u to the power of two plus u) divide by (u to the power of three plus sixty minus four)
- (u2-4*u+16)/(16*u2-1)*(4*u2+u)/(u3+64)
- u2-4*u+16/16*u2-1*4*u2+u/u3+64
- (u²-4*u+16)/(16*u²-1)*(4*u²+u)/(u³+64)
- (u to the power of 2-4*u+16)/(16*u to the power of 2-1)*(4*u to the power of 2+u)/(u to the power of 3+64)
- (u^2-4u+16)/(16u^2-1)(4u^2+u)/(u^3+64)
- (u2-4u+16)/(16u2-1)(4u2+u)/(u3+64)
- u2-4u+16/16u2-14u2+u/u3+64
- u^2-4u+16/16u^2-14u^2+u/u^3+64
- (u^2-4*u+16) divide by (16*u^2-1)*(4*u^2+u) divide by (u^3+64)
-
Similar expressions
- (u^2+4*u+16)/(16*u^2-1)*(4*u^2+u)/(u^3+64)
- (u^2-4*u-16)/(16*u^2-1)*(4*u^2+u)/(u^3+64)
- (u^2-4*u+16)/(16*u^2+1)*(4*u^2+u)/(u^3+64)
- (u^2-4*u+16)/(16*u^2-1)*(4*u^2-u)/(u^3+64)
- (u^2-4*u+16)/(16*u^2-1)*(4*u^2+u)/(u^3-64)
Expression simplification/
Fraction Decomposition into the simple/
(u^2-4*u+16)/(16*u^2-1)*(4*u^2+u)/(u^3+64)
How do you (u^2-4*u+16)/(16*u^2-1)*(4*u^2+u)/(u^3+64) in partial fractions?
The solution
You have entered
[src]
2
u - 4*u + 16 / 2 \
-------------*\4*u + u/
2
16*u - 1
------------------------
3
u + 64
$$\frac{\frac{\left(u^{2} - 4 u\right) + 16}{16 u^{2} - 1} \left(4 u^{2} + u\right)}{u^{3} + 64}$$
(((u^2 - 4*u + 16)/(16*u^2 - 1))*(4*u^2 + u))/(u^3 + 64)
Fraction decomposition
[src]
1/(17*(-1 + 4*u)) + 4/(17*(4 + u))
$$\frac{1}{17 \left(4 u - 1\right)} + \frac{4}{17 \left(u + 4\right)}$$
1 4 ------------- + ---------- 17*(-1 + 4*u) 17*(4 + u)
General simplification
[src]
u
----------------
2
-4 + 4*u + 15*u
$$\frac{u}{4 u^{2} + 15 u - 4}$$
u/(-4 + 4*u^2 + 15*u)
Combining rational expressions
[src]
u*(1 + 4*u)*(16 + u*(-4 + u))
-----------------------------
/ 2\ / 3\
\-1 + 16*u /*\64 + u /
$$\frac{u \left(4 u + 1\right) \left(u \left(u - 4\right) + 16\right)}{\left(16 u^{2} - 1\right) \left(u^{3} + 64\right)}$$
u*(1 + 4*u)*(16 + u*(-4 + u))/((-1 + 16*u^2)*(64 + u^3))
Numerical answer
[src]
(u + 4.0*u^2)*(16.0 + u^2 - 4.0*u)/((64.0 + u^3)*(-1.0 + 16.0*u^2))
(u + 4.0*u^2)*(16.0 + u^2 - 4.0*u)/((64.0 + u^3)*(-1.0 + 16.0*u^2))
Powers
[src]
/ 2\ / 2 \ \u + 4*u /*\16 + u - 4*u/ -------------------------- / 2\ / 3\ \-1 + 16*u /*\64 + u /
$$\frac{\left(4 u^{2} + u\right) \left(u^{2} - 4 u + 16\right)}{\left(16 u^{2} - 1\right) \left(u^{3} + 64\right)}$$
(u + 4*u^2)*(16 + u^2 - 4*u)/((-1 + 16*u^2)*(64 + u^3))
Combinatorics
[src]
u ------------------ (-1 + 4*u)*(4 + u)
$$\frac{u}{\left(u + 4\right) \left(4 u - 1\right)}$$
u/((-1 + 4*u)*(4 + u))
Rational denominator
[src]
/ 2\ / 2 \ \u + 4*u /*\16 + u - 4*u/ -------------------------- / 2\ / 3\ \-1 + 16*u /*\64 + u /
$$\frac{\left(4 u^{2} + u\right) \left(u^{2} - 4 u + 16\right)}{\left(16 u^{2} - 1\right) \left(u^{3} + 64\right)}$$
(u + 4*u^2)*(16 + u^2 - 4*u)/((-1 + 16*u^2)*(64 + u^3))
Assemble expression
[src]
/ 2\ / 2 \ \u + 4*u /*\16 + u - 4*u/ -------------------------- / 2\ / 3\ \-1 + 16*u /*\64 + u /
$$\frac{\left(4 u^{2} + u\right) \left(u^{2} - 4 u + 16\right)}{\left(16 u^{2} - 1\right) \left(u^{3} + 64\right)}$$
(u + 4*u^2)*(16 + u^2 - 4*u)/((-1 + 16*u^2)*(64 + u^3))
Common denominator
[src]
u
----------------
2
-4 + 4*u + 15*u
$$\frac{u}{4 u^{2} + 15 u - 4}$$
u/(-4 + 4*u^2 + 15*u)
Trigonometric part
[src]
/ 2\ / 2 \ \u + 4*u /*\16 + u - 4*u/ -------------------------- / 2\ / 3\ \-1 + 16*u /*\64 + u /
$$\frac{\left(4 u^{2} + u\right) \left(u^{2} - 4 u + 16\right)}{\left(16 u^{2} - 1\right) \left(u^{3} + 64\right)}$$
(u + 4*u^2)*(16 + u^2 - 4*u)/((-1 + 16*u^2)*(64 + u^3))