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Least common denominator:
(x/y)-(y/x)-y/x+y-1
((x*y)+sin(x))/(|1-y|*(log(x)/log(10)))
(x*y+10*y^2/2-5*(y-1)^2-(x-10)*(y-1))/((x-10)*(y-1)+10*(y-1)^2/2-5*(y-2)^2-(x-20)*(y-2))
x/x+6*y/5-x*y-2*x^2/x^2-7*y^2/5
Factor polynomial:
z^3+3*z^2+4*z+12-0
z^2+d/z-2
z^2-6*z+5
z^2+6*z+1
Factor squared:
y^4+6*y^2+7
y^4-6*y^2-6
y^4+7*y^2-8
y^4-6*y^2+5
How do you in partial fractions?:
x^3/(x^4-1)
sqrt(1-((1-x*x)*(n0*n0)/(n1*n1)))
(x^2-2*x+1)/(x-1)
-tan(-1/2+x)/(-1+tan(-1/2+x)^2)
Identical expressions
((x*y)+sin(x))/(| one -y|*(log(x)/log(ten)))
((x multiply by y) plus sinus of (x)) divide by ( module of 1 minus y| multiply by ( logarithm of (x) divide by logarithm of (10)))
((x multiply by y) plus sinus of (x)) divide by ( module of one minus y| multiply by ( logarithm of (x) divide by logarithm of (ten)))
((xy)+sin(x))/(|1-y|(log(x)/log(10)))
xy+sinx/|1-y|logx/log10
((x*y)+sin(x)) divide by (|1-y|*(log(x) divide by log(10)))
Similar expressions
((x*y)-sin(x))/(|1-y|*(log(x)/log(10)))
((x*y)+sin(x))/(|1+y|*(log(x)/log(10)))
((x*y)+sinx)/(|1-y|*(log(x)/log(10)))

Expression simplification/ Least common denominator/ ((x*y)+sin(x))/(|1-y|*(log(x)/log(10)))

Least common denominator ((xy)+sin(x))/(|1-y|(log(x)/log(10)))

The solution

You have entered [src]

  x*y + sin(x) 
---------------
         log(x)
|1 - y|*-------
        log(10)

$$\frac{x y + \sin{\left(x \right)}}{\frac{\log{\left(x \right)}}{\log{\left(10 \right)}} \left|{1 - y}\right|}$$

(x*y + sin(x))/((|1 - y|*(log(x)/log(10))))

General simplification [src]

(x*y + sin(x))*log(10)
----------------------
   |-1 + y|*log(x)

$$\frac{\left(x y + \sin{\left(x \right)}\right) \log{\left(10 \right)}}{\log{\left(x \right)} \left|{y - 1}\right|}$$

(x*y + sin(x))*log(10)/(|-1 + y|*log(x))

Common denominator [src]

log(10)*sin(x) + x*y*log(10)
----------------------------
       |1 - y|*log(x)

$$\frac{x y \log{\left(10 \right)} + \log{\left(10 \right)} \sin{\left(x \right)}}{\log{\left(x \right)} \left|{1 - y}\right|}$$

(log(10)*sin(x) + x*y*log(10))/(|1 - y|*log(x))

Numerical answer [src]

2.30258509299405*(x*y + sin(x))/(|1 - y|*log(x))

2.30258509299405*(x*y + sin(x))/(|1 - y|*log(x))

Powers [src]

(x*y + sin(x))*log(10)
----------------------
   |-1 + y|*log(x)

$$\frac{\left(x y + \sin{\left(x \right)}\right) \log{\left(10 \right)}}{\log{\left(x \right)} \left|{y - 1}\right|}$$

/        /   -I*x    I*x\\        
|      I*\- e     + e   /|        
|x*y - ------------------|*log(10)
\              2         /        
----------------------------------
         |-1 + y|*log(x)

$$\frac{\left(x y - \frac{i \left(e^{i x} - e^{- i x}\right)}{2}\right) \log{\left(10 \right)}}{\log{\left(x \right)} \left|{y - 1}\right|}$$

(x*y - i*(-exp(-i*x) + exp(i*x))/2)*log(10)/(|-1 + y|*log(x))

Rational denominator [src]

log(10)*sin(x) + x*y*log(10)
----------------------------
      |-1 + y|*log(x)

$$\frac{x y \log{\left(10 \right)} + \log{\left(10 \right)} \sin{\left(x \right)}}{\log{\left(x \right)} \left|{y - 1}\right|}$$

(log(10)*sin(x) + x*y*log(10))/(|-1 + y|*log(x))

Combinatorics [src]

(x*y + sin(x))*log(10)
----------------------
   |-1 + y|*log(x)

$$\frac{\left(x y + \sin{\left(x \right)}\right) \log{\left(10 \right)}}{\log{\left(x \right)} \left|{y - 1}\right|}$$

(x*y + sin(x))*log(10)/(|-1 + y|*log(x))

Combining rational expressions [src]

(x*y + sin(x))*log(10)
----------------------
   |-1 + y|*log(x)

$$\frac{\left(x y + \sin{\left(x \right)}\right) \log{\left(10 \right)}}{\log{\left(x \right)} \left|{y - 1}\right|}$$

(x*y + sin(x))*log(10)/(|-1 + y|*log(x))

Assemble expression [src]

(x*y + sin(x))*log(10)
----------------------
    |1 - y|*log(x)

$$\frac{\left(x y + \sin{\left(x \right)}\right) \log{\left(10 \right)}}{\log{\left(x \right)} \left|{1 - y}\right|}$$

(x*y + sin(x))*log(10)/(|1 - y|*log(x))

Expand expression [src]

(x*y + sin(x))*log(10)
----------------------
    |1 - y|*log(x)

$$\frac{\left(x y + \sin{\left(x \right)}\right) \log{\left(10 \right)}}{\log{\left(x \right)} \left|{1 - y}\right|}$$

log(10)*sin(x)    x*y*log(10)  
-------------- + --------------
|1 - y|*log(x)   |1 - y|*log(x)

$$\frac{x y \log{\left(10 \right)}}{\log{\left(x \right)} \left|{1 - y}\right|} + \frac{\log{\left(10 \right)} \sin{\left(x \right)}}{\log{\left(x \right)} \left|{1 - y}\right|}$$

log(10)*sin(x)/(|1 - y|*log(x)) + x*y*log(10)/(|1 - y|*log(x))

Trigonometric part [src]

/         /    pi\\        
|x*y + cos|x - --||*log(10)
\         \    2 //        
---------------------------
      |-1 + y|*log(x)

$$\frac{\left(x y + \cos{\left(x - \frac{\pi}{2} \right)}\right) \log{\left(10 \right)}}{\log{\left(x \right)} \left|{y - 1}\right|}$$

/  1         \        
|------ + x*y|*log(10)
\csc(x)      /        
----------------------
   |-1 + y|*log(x)

$$\frac{\left(x y + \frac{1}{\csc{\left(x \right)}}\right) \log{\left(10 \right)}}{\log{\left(x \right)} \left|{y - 1}\right|}$$

/             /x\ \        
|        2*cot|-| |        
|             \2/ |        
|x*y + -----------|*log(10)
|             2/x\|        
|      1 + cot |-||        
\              \2//        
---------------------------
      |-1 + y|*log(x)

$$\frac{\left(x y + \frac{2 \cot{\left(\frac{x}{2} \right)}}{\cot^{2}{\left(\frac{x}{2} \right)} + 1}\right) \log{\left(10 \right)}}{\log{\left(x \right)} \left|{y - 1}\right|}$$

/             /x\ \        
|        2*tan|-| |        
|             \2/ |        
|x*y + -----------|*log(10)
|             2/x\|        
|      1 + tan |-||        
\              \2//        
---------------------------
      |-1 + y|*log(x)

$$\frac{\left(x y + \frac{2 \tan{\left(\frac{x}{2} \right)}}{\tan^{2}{\left(\frac{x}{2} \right)} + 1}\right) \log{\left(10 \right)}}{\log{\left(x \right)} \left|{y - 1}\right|}$$

/     1           \        
|----------- + x*y|*log(10)
|   /    pi\      |        
|sec|x - --|      |        
\   \    2 /      /        
---------------------------
      |-1 + y|*log(x)

$$\frac{\left(x y + \frac{1}{\sec{\left(x - \frac{\pi}{2} \right)}}\right) \log{\left(10 \right)}}{\log{\left(x \right)} \left|{y - 1}\right|}$$

(x*y + sin(x))*log(10)
----------------------
   |-1 + y|*log(x)

$$\frac{\left(x y + \sin{\left(x \right)}\right) \log{\left(10 \right)}}{\log{\left(x \right)} \left|{y - 1}\right|}$$

   log(10)                   
--------------*(x*y + sin(x))
|1 - y|*log(x)

$$\frac{\log{\left(10 \right)}}{\log{\left(x \right)} \left|{1 - y}\right|} \left(x y + \sin{\left(x \right)}\right)$$

(log(10)/(|1 - y|*log(x)))*(x*y + sin(x))

Other calculators

How to use it?

Identical expressions

Similar expressions

Least common denominator ((x*y)+sin(x))/(|1-y|*(log(x)/log(10)))

The solution

Least common denominator ((xy)+sin(x))/(|1-y|(log(x)/log(10)))