Pre-Algebra Examples

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

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

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

Step 1.2

Simplify.

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Step 1.2.1

Multiply $- 7$ by $- 1$ .

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

Step 1.2.2

Multiply $5$ by $- 1$ .

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

Step 1.2.3

Multiply $- 1$ by $- 1$ .

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

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

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

Step 2

Simplify by adding terms.

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Step 2.1

Add $4 x^{2}$ and $7 x^{2}$ .

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

Step 2.2

Subtract $5 x$ from $9 x$ .

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

Step 2.3

Add $- 7$ and $1$ .

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

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

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