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Factor polynomial x^4-4-3*a*x+6*a

An expression to simplify:

The solution

You have entered [src]
 4                  
x  - 4 - 3*a*x + 6*a
$$6 a + \left(- 3 a x + \left(x^{4} - 4\right)\right)$$
x^4 - 4 - 3*a*x + 6*a
General simplification [src]
      4              
-4 + x  + 6*a - 3*a*x
$$- 3 a x + 6 a + x^{4} - 4$$
-4 + x^4 + 6*a - 3*a*x
Factorization [src]
           4  
     -4 + x   
a - ----------
    3*(-2 + x)
$$a - \frac{x^{4} - 4}{3 \left(x - 2\right)}$$
a - (-4 + x^4)/(3*(-2 + x))
Combining rational expressions [src]
      4              
-4 + x  + 6*a - 3*a*x
$$- 3 a x + 6 a + x^{4} - 4$$
-4 + x^4 + 6*a - 3*a*x
Numerical answer [src]
-4.0 + x^4 + 6.0*a - 3.0*a*x
-4.0 + x^4 + 6.0*a - 3.0*a*x
Common denominator [src]
      4              
-4 + x  + 6*a - 3*a*x
$$- 3 a x + 6 a + x^{4} - 4$$
-4 + x^4 + 6*a - 3*a*x
Trigonometric part [src]
      4              
-4 + x  + 6*a - 3*a*x
$$- 3 a x + 6 a + x^{4} - 4$$
-4 + x^4 + 6*a - 3*a*x
Powers [src]
      4              
-4 + x  + 6*a - 3*a*x
$$- 3 a x + 6 a + x^{4} - 4$$
-4 + x^4 + 6*a - 3*a*x
Assemble expression [src]
      4              
-4 + x  + 6*a - 3*a*x
$$- 3 a x + 6 a + x^{4} - 4$$
      4              
-4 + x  + a*(6 - 3*x)
$$a \left(6 - 3 x\right) + x^{4} - 4$$
-4 + x^4 + a*(6 - 3*x)
Combinatorics [src]
      4              
-4 + x  + 6*a - 3*a*x
$$- 3 a x + 6 a + x^{4} - 4$$
-4 + x^4 + 6*a - 3*a*x
Rational denominator [src]
      4              
-4 + x  + 6*a - 3*a*x
$$- 3 a x + 6 a + x^{4} - 4$$
-4 + x^4 + 6*a - 3*a*x