Question

6xy2(3y-x)-3x2(x-3y)2

Answer 1

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: