Basic Math Examples

$(- 10 w^{2} + 5 w + 7) - (7 w^{2} + 9 w - 4)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$- 10 w^{2} + 5 w + 7 - (7 w^{2}) - (9 w) - - 4$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $7$ by $- 1$ .

$- 10 w^{2} + 5 w + 7 - 7 w^{2} - (9 w) - - 4$

Step 1.2.2

Multiply $9$ by $- 1$ .

$- 10 w^{2} + 5 w + 7 - 7 w^{2} - 9 w - - 4$

Step 1.2.3

Multiply $- 1$ by $- 4$ .

$- 10 w^{2} + 5 w + 7 - 7 w^{2} - 9 w + 4$

$- 10 w^{2} + 5 w + 7 - 7 w^{2} - 9 w + 4$

$- 10 w^{2} + 5 w + 7 - 7 w^{2} - 9 w + 4$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $7 w^{2}$ from $- 10 w^{2}$ .

$- 17 w^{2} + 5 w + 7 - 9 w + 4$

Step 2.2

Subtract $9 w$ from $5 w$ .

$- 17 w^{2} - 4 w + 7 + 4$

Step 2.3

Add $7$ and $4$ .

$- 17 w^{2} - 4 w + 11$

$- 17 w^{2} - 4 w + 11$

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