Mister Exam

Other calculators

Least common denominator (x-x^2/280)*(1-x/140)

An expression to simplify:

The solution

You have entered [src]
/      2\          
|     x | /     x \
|x - ---|*|1 - ---|
\    280/ \    140/
$$\left(- \frac{x}{140} + 1\right) \left(- \frac{x^{2}}{280} + x\right)$$
(x - x^2/280)*(1 - x/140)
Factorization [src]
x*(x - 140)*(x - 280)
$$x \left(x - 140\right) \left(x - 280\right)$$
(x*(x - 140))*(x - 280)
General simplification [src]
x*(-280 + x)*(-140 + x)
-----------------------
         39200         
$$\frac{x \left(x - 280\right) \left(x - 140\right)}{39200}$$
x*(-280 + x)*(-140 + x)/39200
Fraction decomposition [src]
x - 3*x^2/280 + x^3/39200
$$\frac{x^{3}}{39200} - \frac{3 x^{2}}{280} + x$$
       2      3 
    3*x      x  
x - ---- + -----
    280    39200
Trigonometric part [src]
          /      2\
/     x \ |     x |
|1 - ---|*|x - ---|
\    140/ \    280/
$$\left(1 - \frac{x}{140}\right) \left(- \frac{x^{2}}{280} + x\right)$$
(1 - x/140)*(x - x^2/280)
Rational denominator [src]
          /   2        \
(140 - x)*\- x  + 280*x/
------------------------
         39200          
$$\frac{\left(140 - x\right) \left(- x^{2} + 280 x\right)}{39200}$$
(140 - x)*(-x^2 + 280*x)/39200
Common denominator [src]
       2      3 
    3*x      x  
x - ---- + -----
    280    39200
$$\frac{x^{3}}{39200} - \frac{3 x^{2}}{280} + x$$
x - 3*x^2/280 + x^3/39200
Numerical answer [src]
(1.0 - 0.00714285714285714*x)*(x - 0.00357142857142857*x^2)
(1.0 - 0.00714285714285714*x)*(x - 0.00357142857142857*x^2)
Combinatorics [src]
x*(-280 + x)*(-140 + x)
-----------------------
         39200         
$$\frac{x \left(x - 280\right) \left(x - 140\right)}{39200}$$
x*(-280 + x)*(-140 + x)/39200
Powers [src]
          /      2\
/     x \ |     x |
|1 - ---|*|x - ---|
\    140/ \    280/
$$\left(1 - \frac{x}{140}\right) \left(- \frac{x^{2}}{280} + x\right)$$
(1 - x/140)*(x - x^2/280)
Assemble expression [src]
          /      2\
/     x \ |     x |
|1 - ---|*|x - ---|
\    140/ \    280/
$$\left(1 - \frac{x}{140}\right) \left(- \frac{x^{2}}{280} + x\right)$$
(1 - x/140)*(x - x^2/280)
Combining rational expressions [src]
x*(140 - x)*(280 - x)
---------------------
        39200        
$$\frac{x \left(140 - x\right) \left(280 - x\right)}{39200}$$
x*(140 - x)*(280 - x)/39200