Algebra Examples

$(13 m^{4} + 2) + (m^{4} n^{2} + 2 - 2 m^{4}) - (- 13 m^{2} n^{3} + 5 m^{4})$

Step 1

Remove parentheses.

$13 m^{4} + 2 + m^{4} n^{2} + 2 - 2 m^{4} - (- 13 m^{2} n^{3} + 5 m^{4})$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$13 m^{4} + 2 + m^{4} n^{2} + 2 - 2 m^{4} - (- 13 m^{2} n^{3}) - (5 m^{4})$

Step 2.2

Multiply $- 13$ by $- 1$ .

$13 m^{4} + 2 + m^{4} n^{2} + 2 - 2 m^{4} + 13 (m^{2} n^{3}) - (5 m^{4})$

Step 2.3

Multiply $5$ by $- 1$ .

$13 m^{4} + 2 + m^{4} n^{2} + 2 - 2 m^{4} + 13 m^{2} n^{3} - 5 m^{4}$

Step 3

Simplify by adding terms.

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Step 3.1

Subtract $2 m^{4}$ from $13 m^{4}$ .

$11 m^{4} + 2 + m^{4} n^{2} + 2 + 13 m^{2} n^{3} - 5 m^{4}$

Step 3.2

Subtract $5 m^{4}$ from $11 m^{4}$ .

$6 m^{4} + 2 + m^{4} n^{2} + 2 + 13 m^{2} n^{3}$

Step 3.3

Simplify the expression.

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Step 3.3.1

Add $2$ and $2$ .

$6 m^{4} + m^{4} n^{2} + 4 + 13 m^{2} n^{3}$

Step 3.3.2

Move $4$ .

$6 m^{4} + m^{4} n^{2} + 13 m^{2} n^{3} + 4$

Step 3.3.3

Move $6 m^{4}$ .

$m^{4} n^{2} + 13 m^{2} n^{3} + 6 m^{4} + 4$