Algebra Examples

$m^{2} + 71 m n - 14 m^{2} - 65 m n + m^{3} - m^{2} - 115 m^{2} + 6 m^{3}$

Step 1

Combine the opposite terms in $m^{2} + 71 m n - 14 m^{2} - 65 m n + m^{3} - m^{2} - 115 m^{2} + 6 m^{3}$ .

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Step 1.1

Subtract $m^{2}$ from $m^{2}$ .

$71 m n - 14 m^{2} - 65 m n + m^{3} + 0 - 115 m^{2} + 6 m^{3}$

Step 1.2

Add $71 m n - 14 m^{2} - 65 m n + m^{3}$ and $0$ .

$71 m n - 14 m^{2} - 65 m n + m^{3} - 115 m^{2} + 6 m^{3}$

Step 2

Subtract $65 m n$ from $71 m n$ .

$- 14 m^{2} + 6 m n + m^{3} - 115 m^{2} + 6 m^{3}$

Step 3

Subtract $115 m^{2}$ from $- 14 m^{2}$ .

$- 129 m^{2} + 6 m n + m^{3} + 6 m^{3}$

Step 4

Add $m^{3}$ and $6 m^{3}$ .

$- 129 m^{2} + 6 m n + 7 m^{3}$

Step 5

Simplify the expression.

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Step 5.1

Move $- 129 m^{2}$ .

$6 m n + 7 m^{3} - 129 m^{2}$

Step 5.2

Reorder $6 m n$ and $7 m^{3}$ .

$7 m^{3} + 6 m n - 129 m^{2}$