Algebra Examples

$(5 m^{3} + 3 m n^{2}) + (- 7 m^{2} n + m n^{2} - n^{3}) - (m n^{2} + 2 m^{3})$

Step 1

Remove parentheses.

$5 m^{3} + 3 m n^{2} - 7 m^{2} n + m n^{2} - n^{3} - (m n^{2} + 2 m^{3})$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$5 m^{3} + 3 m n^{2} - 7 m^{2} n + m n^{2} - n^{3} - (m n^{2}) - (2 m^{3})$

Step 2.2

Multiply $2$ by $- 1$ .

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

Step 3

Simplify by adding terms.

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Step 3.1

Combine the opposite terms in $5 m^{3} + 3 m n^{2} - 7 m^{2} n + m n^{2} - n^{3} - m n^{2} - 2 m^{3}$ .

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Step 3.1.1

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

$5 m^{3} + 3 m n^{2} - 7 m^{2} n - n^{3} + 0 - 2 m^{3}$

Step 3.1.2

Add $5 m^{3} + 3 m n^{2} - 7 m^{2} n - n^{3}$ and $0$ .

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

Step 3.2

Subtract $2 m^{3}$ from $5 m^{3}$ .

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

Step 3.3

Move $3 m n^{2}$ .

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