Pre-Algebra Examples

(4 x^{2} + 9 x - 7) - (- 7 x^{2} + 5 x - 1)

$(4 x^{2} + 9 x - 7) - (- 7 x^{2} + 5 x - 1)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

4 x^{2} + 9 x - 7 - (- 7 x^{2}) - (5 x) - - 1

$4 x^{2} + 9 x - 7 - (- 7 x^{2}) - (5 x) - - 1$

Step 1.2

Simplify.

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Step 1.2.1

Multiply

- 7

$- 7$ by

- 1

$- 1$ .

4 x^{2} + 9 x - 7 + 7 x^{2} - (5 x) - - 1

$4 x^{2} + 9 x - 7 + 7 x^{2} - (5 x) - - 1$

Step 1.2.2

Multiply

5

$5$ by

- 1

$- 1$ .

4 x^{2} + 9 x - 7 + 7 x^{2} - 5 x - - 1

$4 x^{2} + 9 x - 7 + 7 x^{2} - 5 x - - 1$

Step 1.2.3

Multiply

- 1

$- 1$ by

- 1

$- 1$ .

4 x^{2} + 9 x - 7 + 7 x^{2} - 5 x + 1

$4 x^{2} + 9 x - 7 + 7 x^{2} - 5 x + 1$

4 x^{2} + 9 x - 7 + 7 x^{2} - 5 x + 1

$4 x^{2} + 9 x - 7 + 7 x^{2} - 5 x + 1$

4 x^{2} + 9 x - 7 + 7 x^{2} - 5 x + 1

$4 x^{2} + 9 x - 7 + 7 x^{2} - 5 x + 1$

Step 2

Simplify by adding terms.

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Step 2.1

Add

4 x^{2}

$4 x^{2}$ and

7 x^{2}

$7 x^{2}$ .

11 x^{2} + 9 x - 7 - 5 x + 1

$11 x^{2} + 9 x - 7 - 5 x + 1$

Step 2.2

Subtract

5 x

$5 x$ from

9 x

$9 x$ .

11 x^{2} + 4 x - 7 + 1

$11 x^{2} + 4 x - 7 + 1$

Step 2.3

Add

- 7

$- 7$ and

1

$1$ .

11 x^{2} + 4 x - 6

$11 x^{2} + 4 x - 6$

11 x^{2} + 4 x - 6

$11 x^{2} + 4 x - 6$

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

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