x⁴(y – z)+y⁴(z - x)+z⁴(x - y)
Answers
Step-by-step explanation:
Changes made to your input should not affect the solution:
(1): "z4" was replaced by "z^4". 2 more similar replacement(s).
STEP1:Equation at the end of step 1
(((x4)•(y-z))+((y4)•(z-x)))+z4•(x-y)
STEP 2 :
Equation at the end of step2:
(((x4)•(y-z))+y4•(z-x))+z4•(x-y)
STEP 3 :
Equation at the end of step3:
(x4•(y-z)+y4•(z-x))+z4•(x-y)
STEP4: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)
The groups have no common factor and can not be added up to form a multiplication.
Final result :
x4y - x4z - xy4 + xz4 + y4z - yz4