Finite Math Examples

$(4 m^{2} - 3 m + 9) - (2 m^{2} + 5 m - 3)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$4 m^{2} - 3 m + 9 - (2 m^{2}) - (5 m) - - 3$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $2$ by $- 1$ .

$4 m^{2} - 3 m + 9 - 2 m^{2} - (5 m) - - 3$

Step 1.2.2

Multiply $5$ by $- 1$ .

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

Step 1.2.3

Multiply $- 1$ by $- 3$ .

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

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

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

Step 2

Simplify by adding terms.

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Step 2.1

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

$2 m^{2} - 3 m + 9 - 5 m + 3$

Step 2.2

Subtract $5 m$ from $- 3 m$ .

$2 m^{2} - 8 m + 9 + 3$

Step 2.3

Add $9$ and $3$ .

$2 m^{2} - 8 m + 12$

$2 m^{2} - 8 m + 12$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$