Basic Math Examples

$2 (d^{2} - 9 d - 5) + (d^{2} - 9)$

Step 1

Remove parentheses.

$2 (d^{2} - 9 d - 5) + d^{2} - 9$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$2 d^{2} + 2 (- 9 d) + 2 \cdot - 5 + d^{2} - 9$

Step 2.2

Simplify.

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Step 2.2.1

Multiply $- 9$ by $2$ .

$2 d^{2} - 18 d + 2 \cdot - 5 + d^{2} - 9$

Step 2.2.2

Multiply $2$ by $- 5$ .

$2 d^{2} - 18 d - 10 + d^{2} - 9$

$2 d^{2} - 18 d - 10 + d^{2} - 9$

$2 d^{2} - 18 d - 10 + d^{2} - 9$

Step 3

Simplify by adding terms.

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Step 3.1

Add $2 d^{2}$ and $d^{2}$ .

$3 d^{2} - 18 d - 10 - 9$

Step 3.2

Subtract $9$ from $- 10$ .

$3 d^{2} - 18 d - 19$

$3 d^{2} - 18 d - 19$

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