Algebra Examples

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

Step 1

Regroup terms.

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

Step 2

Factor $d$ out of $d^{2} - d$ .

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Step 2.1

Factor $d$ out of $d^{2}$ .

$d \cdot d - d + 5 - (2 d + 5)$

Step 2.2

Factor $d$ out of $- d$ .

$d \cdot d + d \cdot - 1 + 5 - (2 d + 5)$

Step 2.3

Factor $d$ out of $d \cdot d + d \cdot - 1$ .

$d (d - 1) + 5 - (2 d + 5)$

$d (d - 1) + 5 - (2 d + 5)$

Step 3

Apply the distributive property.

$d (d - 1) + 5 - (2 d) - 1 \cdot 5$

Step 4

Multiply $2$ by $- 1$ .

$d (d - 1) + 5 - 2 d - 1 \cdot 5$

Step 5

Multiply $- 1$ by $5$ .

$d (d - 1) + 5 - 2 d - 5$

Step 6

Subtract $5$ from $5$ .

$d (d - 1) - 2 d + 0$

Step 7

Add $- 2 d$ and $0$ .

$d (d - 1) - 2 d$

Step 8

Factor $d$ out of $d (d - 1) - 2 d$ .

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Step 8.1

Factor $d$ out of $- 2 d$ .

$d (d - 1) + d \cdot - 2$

Step 8.2

Factor $d$ out of $d (d - 1) + d \cdot - 2$ .

$d (d - 1 - 2)$

$d (d - 1 - 2)$

Step 9

Subtract $2$ from $- 1$ .

$d (d - 3)$

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