Basic Math Examples

$(2 w^{2} + 5) - (6 w^{2} - 3 w + 4)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$2 w^{2} + 5 - (6 w^{2}) - (- 3 w) - 1 \cdot 4$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $6$ by $- 1$ .

$2 w^{2} + 5 - 6 w^{2} - (- 3 w) - 1 \cdot 4$

Step 1.2.2

Multiply $- 3$ by $- 1$ .

$2 w^{2} + 5 - 6 w^{2} + 3 w - 1 \cdot 4$

Step 1.2.3

Multiply $- 1$ by $4$ .

$2 w^{2} + 5 - 6 w^{2} + 3 w - 4$

$2 w^{2} + 5 - 6 w^{2} + 3 w - 4$

$2 w^{2} + 5 - 6 w^{2} + 3 w - 4$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $6 w^{2}$ from $2 w^{2}$ .

$- 4 w^{2} + 5 + 3 w - 4$

Step 2.2

Subtract $4$ from $5$ .

$- 4 w^{2} + 3 w + 1$

$- 4 w^{2} + 3 w + 1$

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