Pre-Algebra Examples

$(4 x^{2} + 6 x - 5) - (- 7 x^{2} - 4 x - 2)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$4 x^{2} + 6 x - 5 - (- 7 x^{2}) - (- 4 x) - - 2$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $- 7$ by $- 1$ .

$4 x^{2} + 6 x - 5 + 7 x^{2} - (- 4 x) - - 2$

Step 1.2.2

Multiply $- 4$ by $- 1$ .

$4 x^{2} + 6 x - 5 + 7 x^{2} + 4 x - - 2$

Step 1.2.3

Multiply $- 1$ by $- 2$ .

$4 x^{2} + 6 x - 5 + 7 x^{2} + 4 x + 2$

$4 x^{2} + 6 x - 5 + 7 x^{2} + 4 x + 2$

$4 x^{2} + 6 x - 5 + 7 x^{2} + 4 x + 2$

Step 2

Simplify by adding terms.

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Step 2.1

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

$11 x^{2} + 6 x - 5 + 4 x + 2$

Step 2.2

Add $6 x$ and $4 x$ .

$11 x^{2} + 10 x - 5 + 2$

Step 2.3

Add $- 5$ and $2$ .

$11 x^{2} + 10 x - 3$

$11 x^{2} + 10 x - 3$

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