Algebra Examples

$3 - (2 m^{2} + 3) + (m^{2} - 2 m + 3)$

Step 1

Remove parentheses.

$3 - (2 m^{2} + 3) + m^{2} - 2 m + 3$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$3 - (2 m^{2}) - 1 \cdot 3 + m^{2} - 2 m + 3$

Step 2.2

Multiply $2$ by $- 1$ .

$3 - 2 m^{2} - 1 \cdot 3 + m^{2} - 2 m + 3$

Step 2.3

Multiply $- 1$ by $3$ .

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

Step 3

Simplify by adding terms.

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Step 3.1

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

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Step 3.1.1

Subtract $3$ from $3$ .

$- 2 m^{2} + 0 + m^{2} - 2 m + 3$

Step 3.1.2

Add $- 2 m^{2}$ and $0$ .

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

Step 3.2

Add $- 2 m^{2}$ and $m^{2}$ .

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