Algebra Examples

$(- 7 x^{2} - 4 x - 1) - (6 x^{2} + 4 x)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$- 7 x^{2} - 4 x - 1 - (6 x^{2}) - (4 x)$

Step 1.2

Multiply $6$ by $- 1$ .

$- 7 x^{2} - 4 x - 1 - 6 x^{2} - (4 x)$

Step 1.3

Multiply $4$ by $- 1$ .

$- 7 x^{2} - 4 x - 1 - 6 x^{2} - 4 x$

$- 7 x^{2} - 4 x - 1 - 6 x^{2} - 4 x$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $6 x^{2}$ from $- 7 x^{2}$ .

$- 13 x^{2} - 4 x - 1 - 4 x$

Step 2.2

Subtract $4 x$ from $- 4 x$ .

$- 13 x^{2} - 8 x - 1$

$- 13 x^{2} - 8 x - 1$

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