Question

Factorise it X^4 (y-z)^4

Answer 1

Final result :
x4 • (y - z)4
Only this much can happen . Hope this helps

Answer 2

Answer

x^4-(y+z)^4  

Step by step solution :

Step  1  :

1.1     Evaluate :  (y+z)4   =    y4+4y3z+6y2z2+4yz3+z4  

Trying to factor by pulling out :

1.2      Factoring:  x4-y4-4y3z-6y2z2-4yz3-z4  

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  -4yz3-z4  

Group 2:  -4y3z-6y2z2  

Group 3:  x4-y4  

Pull out from each group separately :

Group 1:   (4y+z) • (-z3)

Group 2:   (2y+3z) • (-2y2z)

Group 3:   (x4-y4) • (1)

Looking for common sub-expressions :

Group 1:   (4y+z) • (-z3)

Group 3:   (x4-y4) • (1)

Group 2:   (2y+3z) • (-2y2z)

The groups have no common factor and can not be added up to form a multiplication.

Final result :

x^4 - y^4 - 4y^3z - 6y2z^2 - 4yz^3 - z^4