Question

factorise x⁴(y-z)+y⁴(z-x)+z⁴(x-y)​

Answer 1

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

x4y - x4z - xy4 + xz4 + y4z - yz4

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)