Algebra Examples

$(9 x^{2} + 10 x + 4) - (9 x^{2} + 5 x - 1)$

Step 1

Regroup terms.

$10 x + 9 x^{2} + 4 - (9 x^{2} + 5 x - 1)$

Step 2

Apply the distributive property.

$10 x + 9 x^{2} + 4 - (9 x^{2}) - (5 x) - - 1$

Step 3

Simplify.

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Step 3.1

Multiply $9$ by $- 1$ .

$10 x + 9 x^{2} + 4 - 9 x^{2} - (5 x) - - 1$

Step 3.2

Multiply $5$ by $- 1$ .

$10 x + 9 x^{2} + 4 - 9 x^{2} - 5 x - - 1$

Step 3.3

Multiply $- 1$ by $- 1$ .

$10 x + 9 x^{2} + 4 - 9 x^{2} - 5 x + 1$

$10 x + 9 x^{2} + 4 - 9 x^{2} - 5 x + 1$

Step 4

Subtract $9 x^{2}$ from $9 x^{2}$ .

$10 x + 0 + 4 - 5 x + 1$

Step 5

Add $0$ and $4$ .

$10 x + 4 - 5 x + 1$

Step 6

Add $4$ and $1$ .

$10 x - 5 x + 5$

Step 7

Factor $- 5$ out of $- 5 x + 5$ .

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Step 7.1

Factor $- 5$ out of $- 5 x$ .

$10 x - 5 (x) + 5$

Step 7.2

Factor $- 5$ out of $5$ .

$10 x - 5 (x) - 5 (- 1)$

Step 7.3

Factor $- 5$ out of $- 5 (x) - 5 (- 1)$ .

$10 x - 5 (x - 1)$

$10 x - 5 (x - 1)$

Step 8

Factor $5$ out of $10 x - 5 (x - 1)$ .

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Step 8.1

Factor $5$ out of $10 x$ .

$5 (2 x) - 5 (x - 1)$

Step 8.2

Factor $5$ out of $- 5 (x - 1)$ .

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

Step 8.3

Factor $5$ out of $5 (2 x) + 5 (- (x - 1))$ .

$5 (2 x - (x - 1))$

$5 (2 x - (x - 1))$

Step 9

Apply the distributive property.

$5 (2 x - x - - 1)$

Step 10

Multiply $- 1$ by $- 1$ .

$5 (2 x - x + 1)$

Step 11

Subtract $x$ from $2 x$ .

$5 (x + 1)$

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