10m3n2+15m4n-20m2n3

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)