Basic Math Examples

$(4 d^{2} + 5 d) - (- 10 d^{2} - 7 d - 8)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$4 d^{2} + 5 d - (- 10 d^{2}) - (- 7 d) - - 8$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $- 10$ by $- 1$ .

$4 d^{2} + 5 d + 10 d^{2} - (- 7 d) - - 8$

Step 1.2.2

Multiply $- 7$ by $- 1$ .

$4 d^{2} + 5 d + 10 d^{2} + 7 d - - 8$

Step 1.2.3

Multiply $- 1$ by $- 8$ .

$4 d^{2} + 5 d + 10 d^{2} + 7 d + 8$

$4 d^{2} + 5 d + 10 d^{2} + 7 d + 8$

$4 d^{2} + 5 d + 10 d^{2} + 7 d + 8$

Step 2

Simplify by adding terms.

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Step 2.1

Add $4 d^{2}$ and $10 d^{2}$ .

$14 d^{2} + 5 d + 7 d + 8$

Step 2.2

Add $5 d$ and $7 d$ .

$14 d^{2} + 12 d + 8$

$14 d^{2} + 12 d + 8$

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