Answer:
7xy • (x - 4y2 + 2y)
Explanation:
STEP 1: Equation at the end of step 1
(((7•(x2))•y)-(28x•(y3)))+(2•7xy2)
STEP 2 :
Equation at the end of step 2:
(((7 • (x2)) • y) - (22•7xy3)) + (2•7xy2)
STEP 3 :
Equation at the end of step 3:
((7x2 • y) - (22•7xy3)) + (2•7xy2)
STEP 4:
STEP 5: Pulling out like terms
5.1 Pull out like factors :
7x2y - 28xy3 + 14xy2 = 7xy • (x - 4y2 + 2y)
Trying to factor a multi variable polynomial :
5.2 Factoring x - 4y2 + 2y
Try to factor this multi-variable trinomial using trial and error
Factorization fails
Final result :
7xy • (x - 4y2 + 2y)