the factors of x^2(y-z)+y^2(z-x)+z^2(x-y)
Answers
Step by step solution :
Step 1 :
Equation at the end of step 1 :
(((x2)•(y-z))+((y2)•(z-x)))+z2•(x-y)
Step 2 :
Equation at the end of step 2 :
(((x2)•(y-z))+y2•(z-x))+z2•(x-y)
Step 3 :
Equation at the end of step 3 :
(x2•(y-z)+y2•(z-x))+z2•(x-y)
Step 4 :
Trying to factor by pulling out :
Factoring: x2y-x2z-xy2+xz2+y2z-yz2
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: y2z-xy2
Group 2: x2y-x2z
Group 3: xz2-yz2
Pull out from each group separately :
Group 1: (x-z) • (-y2)
Group 2: (y-z) • (x2)
Group 3: (x-y) • (z2)
Looking for common sub-expressions :
Group 1: (x-z) • (-y2)
Group 3: (x-y) • (z2)
Group 2: (y-z) • (x2)
Bad news !! Factoring by pulling out fails :
The groups have no common factor and can not be added up to form a multiplication.
Final result :
x2y - x2z - xy2 + xz2 + y2z - yz2
here is you are answer
Answer:
Step-by-step explanation: