Algebra Examples

$8 m n^{5} - 2 m^{6} + 5 m^{2} n^{4} - m^{3} n^{3} + n^{6} - 4 m^{6} + 9 m^{2} n^{4} - m n^{5} - 4 m^{3} n^{3}$

Step 1

Subtract $m n^{5}$ from $8 m n^{5}$ .

$- 2 m^{6} + 5 m^{2} n^{4} - m^{3} n^{3} + n^{6} - 4 m^{6} + 9 m^{2} n^{4} + 7 m n^{5} - 4 m^{3} n^{3}$

Step 2

Subtract $4 m^{6}$ from $- 2 m^{6}$ .

$- 6 m^{6} + 5 m^{2} n^{4} - m^{3} n^{3} + n^{6} + 9 m^{2} n^{4} + 7 m n^{5} - 4 m^{3} n^{3}$

Step 3

Add $5 m^{2} n^{4}$ and $9 m^{2} n^{4}$ .

$- 6 m^{6} - m^{3} n^{3} + n^{6} + 14 m^{2} n^{4} + 7 m n^{5} - 4 m^{3} n^{3}$

Step 4

Subtract $4 m^{3} n^{3}$ from $- m^{3} n^{3}$ .

$- 6 m^{6} + n^{6} + 14 m^{2} n^{4} + 7 m n^{5} - 5 m^{3} n^{3}$