Question

Factorise x⁴(y-z)+y⁴(x-x)+z⁴(x-y)​

Answer 1

Answer:

x^4 y - x^4 z + ^ 4 z -xy^r 4 plus xz power 4 - yz power 4

Answer 2

Answer:

(1): "z4"   was replaced by   "z^4".  2 more similar replacement(s).

STEP

1

:

Equation at the end of step 1

 (((x4)•(y-z))+((y4)•(z-x)))+z4•(x-y)

STEP  2  :

Equation at the end of step

2

:

 (((x4)•(y-z))+y4•(z-x))+z4•(x-y)

STEP  3  :

Equation at the end of step

3

:

 (x4•(y-z)+y4•(z-x))+z4•(x-y)

STEP

4

:

Trying to factor by pulling out  4.1    

Factoring:  x4y-x4z-xy4+xz4+y4z-yz4  

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

Group 1:  y4z-xy4  

Group 2:  x4y-x4z  

Group 3:  xz4-yz4  

Pull out from each group separately :

Group 1:   (x-z) • (-y4)

Group 2:   (y-z) • (x4)

Group 3:   (x-y) • (z4)

Looking for common sub-expressions :

Group 1:   (x-z) • (-y4)

Group 3:   (x-y) • (z4)

Group 2:   (y-z) • (x4)