Answer:
5m2n • (3m2 + 2mn - 4n2)
explanation:
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "n3" was replaced by "n^3". 4 more similar replacement(s).
Step by step solution :
Step 1 :
Equation at the end of step 1 :
(((10•(m3))•(n2))+((15•(m4))•n))-((22•5m2)•n3)
Step 2 :
Equation at the end of step 2 :
(((10•(m3))•(n2))+((3•5m4)•n))-(22•5m2n3)
Step 3 :
Equation at the end of step 3 :
(((2•5m3) • n2) + (3•5m4n)) - (22•5m2n3)
Step 4 :
Pulling out like terms :
5.1 Pull out like factors :
15m4n + 10m3n2 - 20m2n3 = 5m2n • (3m2 + 2mn - 4n2)
Trying to factor a multi variable polynomial :
5.2 Factoring 3m2 + 2mn - 4n2
Try to factor this multi-variable trinomial using trial and error
Final result :
5m2n • (3m2 + 2mn - 4n2)
