a4(b2-c2)+b4(c2-a2)+C4(a2-b2)
Answers
(a4)•((b2)-(c2)))+((b4)•((c2)-(a2))))+c4•(a+b)•(a-bFactoring: c2-a2
Check : c2 is the square of c1
Check : a2 is the square of a1
Factorization is : (c + a) • (c - a) a4)•((b2)-(c2)))+b4•(a+c)•(c-a))+c4•(a+b)•(a-b)Factoring: b2-c2
Check : b2 is the square of b1
Check : c2 is the square of c1
Factorization is : (b + c) • (b - c)Factoring: a4b2-a4c2-a2b4+a2c4+b4c2-b2c4
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: b4c2-a2b4
Group 2: a4b2-a4c2
Group 3: a2c4-b2c4
Pull out from each group separately :
Group 1: (a2-c2) • (-b4)
Group 2: (b2-c2) • (a4)
Group 3: (a2-b2) • (c4)
Looking for common sub-expressions :
Group 1: (a2-c2) • (-b4)
Group 3: (a2-b2) • (c4)
Group 2: (b2-c2) • (a4)