Answer:6xy2(3y-x)-3x2(x-3y)2
Final result :
3x • (3y - x) • (x2 - 3xy - 2y2)
Step by step solution :
Step 1 :
Equation at the end of step 1 :
((6x•(y2))•(3y-x))-(3x2•(x-3y)2)
Step 2 :
Equation at the end of step 2 :
((6x•(y2))•(3y-x))-3x2•(x-3y)2
Step 3 :
Equation at the end of step 3 :
((2•3xy2) • (3y - x)) - 3x2 • (x - 3y)2
Step 4 :
Equation at the end of step 4 :
(2•3xy2) • (3y - x) - 3x2 • (x - 3y)2
Step 5 :
Pulling out like terms :
5.1 Pull out 3y-x
Note that x-3y =(-1)• 3y-x
After pulling out, we are left with :
(3y-x) • ( 2 • 3xy2 * (-1) +( 3x2 * (x-3y) ))
Step 6 :
Pulling out like terms :
6.1 Pull out like factors :
3x3 - 9x2y - 6xy2 = 3x • (x2 - 3xy - 2y2)
Trying to factor a multi variable polynomial :
6.2 Factoring x2 - 3xy - 2y2
Try to factor this multi-variable trinomial using trial and error
Factorization fails
Final result :
3x • (3y - x) • (x2 - 3xy - 2y2)
Step-by-step explanation:
