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Least common denominator:
(z+t)/(t-z)-(t-z)/(t+z)
(z/t-t/z)*5*t*z/z-t
(z*sqrt(z^2-a^2))/2-(a^2*log(2*sqrt(z^2-a^2)+2*z))/2
(z/40+1/20)*(z/40+4/5)*z
Factor polynomial:
x^3+27
x^2-x+5
p^9+64
x^6-x^4*y^2-x^3+x^2*y
Factor squared:
-y^4-y^2+1
-y^4+y^2+1
y^4+y^2+1
-y^4+y^2-10
How do you in partial fractions?:
(z-2)/(6*z+(z-2)*(z-2))+(6/(z*z*z-8))
2*(-1+(-1+x)/(2+x))/(2+x)^2
2/(a+2)+(a-2)/(a^2+4*a+4)/(a/(2*a-4)+(a^2+4)/(8-2*a)-2/(2*a+a^2))
((4*x)^3*x^-11)/((x^-12)*(5*x^5))
Identical expressions
(z*sqrt(z^ two -a^ two))/ two -(a^ two *log(two *sqrt(z^ two -a^ two)+ two *z))/ two
(z multiply by square root of (z squared minus a squared )) divide by 2 minus (a squared multiply by logarithm of (2 multiply by square root of (z squared minus a squared ) plus 2 multiply by z)) divide by 2
(z multiply by square root of (z to the power of two minus a to the power of two)) divide by two minus (a to the power of two multiply by logarithm of (two multiply by square root of (z to the power of two minus a to the power of two) plus two multiply by z)) divide by two
(z*√(z^2-a^2))/2-(a^2*log(2*√(z^2-a^2)+2*z))/2
(z*sqrt(z2-a2))/2-(a2*log(2*sqrt(z2-a2)+2*z))/2
z*sqrtz2-a2/2-a2*log2*sqrtz2-a2+2*z/2
(z*sqrt(z²-a²))/2-(a²*log(2*sqrt(z²-a²)+2*z))/2
(z*sqrt(z to the power of 2-a to the power of 2))/2-(a to the power of 2*log(2*sqrt(z to the power of 2-a to the power of 2)+2*z))/2
(zsqrt(z^2-a^2))/2-(a^2log(2sqrt(z^2-a^2)+2z))/2
(zsqrt(z2-a2))/2-(a2log(2sqrt(z2-a2)+2z))/2
zsqrtz2-a2/2-a2log2sqrtz2-a2+2z/2
zsqrtz^2-a^2/2-a^2log2sqrtz^2-a^2+2z/2
(z*sqrt(z^2-a^2)) divide by 2-(a^2*log(2*sqrt(z^2-a^2)+2*z)) divide by 2
Similar expressions
(z*sqrt(z^2+a^2))/2-(a^2*log(2*sqrt(z^2-a^2)+2*z))/2
(z*sqrt(z^2-a^2))/2-(a^2*log(2*sqrt(z^2+a^2)+2*z))/2
(z*sqrt(z^2-a^2))/2-(a^2*log(2*sqrt(z^2-a^2)-2*z))/2
(z*sqrt(z^2-a^2))/2+(a^2*log(2*sqrt(z^2-a^2)+2*z))/2

Expression simplification/ Least common denominator/ (z*sqrt(z^2-a^2))/2-(a^2*log(2*sqrt(z^2-a^2)+2*z))/2

Least common denominator (zsqrt(z^2-a^2))/2-(a^2log(2sqrt(z^2-a^2)+2z))/2

The solution

You have entered [src]

     _________         /     _________      \
    /  2    2     2    |    /  2    2       |
z*\/  z  - a     a *log\2*\/  z  - a   + 2*z/
-------------- - ----------------------------
      2                       2

$$- \frac{a^{2} \log{\left(2 z + 2 \sqrt{- a^{2} + z^{2}} \right)}}{2} + \frac{z \sqrt{- a^{2} + z^{2}}}{2}$$

(z*sqrt(z^2 - a^2))/2 - a^2*log(2*sqrt(z^2 - a^2) + 2*z)/2

Numerical answer [src]

0.5*z*(z^2 - a^2)^0.5 - 0.5*a^2*log(2*sqrt(z^2 - a^2) + 2*z)

0.5*z*(z^2 - a^2)^0.5 - 0.5*a^2*log(2*sqrt(z^2 - a^2) + 2*z)

Combining rational expressions [src]

     _________         /  /       _________\\
    /  2    2     2    |  |      /  2    2 ||
z*\/  z  - a   - a *log\2*\z + \/  z  - a  //
---------------------------------------------
                      2

$$\frac{- a^{2} \log{\left(2 \left(z + \sqrt{- a^{2} + z^{2}}\right) \right)} + z \sqrt{- a^{2} + z^{2}}}{2}$$

(z*sqrt(z^2 - a^2) - a^2*log(2*(z + sqrt(z^2 - a^2))))/2

Common denominator [src]

     _________                     /       _________\
    /  2    2     2           2    |      /  2    2 |
z*\/  z  - a     a *log(2)   a *log\z + \/  z  - a  /
-------------- - --------- - ------------------------
      2              2                  2

$$- \frac{a^{2} \log{\left(z + \sqrt{- a^{2} + z^{2}} \right)}}{2} - \frac{a^{2} \log{\left(2 \right)}}{2} + \frac{z \sqrt{- a^{2} + z^{2}}}{2}$$

z*sqrt(z^2 - a^2)/2 - a^2*log(2)/2 - a^2*log(z + sqrt(z^2 - a^2))/2

Rational denominator [src]

     _________         /           _________\
    /  2    2     2    |          /  2    2 |
z*\/  z  - a   - a *log\2*z + 2*\/  z  - a  /
---------------------------------------------
                      2

$$\frac{- a^{2} \log{\left(2 z + 2 \sqrt{- a^{2} + z^{2}} \right)} + z \sqrt{- a^{2} + z^{2}}}{2}$$

(z*sqrt(z^2 - a^2) - a^2*log(2*z + 2*sqrt(z^2 - a^2)))/2

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Identical expressions

Similar expressions

Least common denominator (z*sqrt(z^2-a^2))/2-(a^2*log(2*sqrt(z^2-a^2)+2*z))/2

The solution

Least common denominator (zsqrt(z^2-a^2))/2-(a^2log(2sqrt(z^2-a^2)+2z))/2