Finite Math Examples

$6 m^{3} - 3 m^{2} + 5 m n^{2} - 2 n^{3} + (6 m n^{2} + n^{3} - 3 m^{3} + 5 m^{2} n)$

Step 1

Remove parentheses.

$6 m^{3} - 3 m^{2} + 5 m n^{2} - 2 n^{3} + 6 m n^{2} + n^{3} - 3 m^{3} + 5 m^{2} n$

Step 2

Subtract $3 m^{3}$ from $6 m^{3}$ .

$3 m^{3} - 3 m^{2} + 5 m n^{2} - 2 n^{3} + 6 m n^{2} + n^{3} + 5 m^{2} n$

Step 3

Add $5 m n^{2}$ and $6 m n^{2}$ .

$3 m^{3} - 3 m^{2} - 2 n^{3} + 11 m n^{2} + n^{3} + 5 m^{2} n$

Step 4

Add $- 2 n^{3}$ and $n^{3}$ .

$3 m^{3} - 3 m^{2} - n^{3} + 11 m n^{2} + 5 m^{2} n$

Step 5

Reorder.

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Step 5.1

Move $- 3 m^{2}$ .

$3 m^{3} - n^{3} + 11 m n^{2} + 5 m^{2} n - 3 m^{2}$

Step 5.2

Move $- n^{3}$ .

$3 m^{3} + 11 m n^{2} + 5 m^{2} n - n^{3} - 3 m^{2}$

Step 5.3

Move $11 m n^{2}$ .

$3 m^{3} + 5 m^{2} n + 11 m n^{2} - n^{3} - 3 m^{2}$