Algebra Examples

$(2 x^{2} - 13 x + 7) - (1 - 12 x)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$2 x^{2} - 13 x + 7 - 1 \cdot 1 - (- 12 x)$

Step 1.2

Multiply $- 1$ by $1$ .

$2 x^{2} - 13 x + 7 - 1 - (- 12 x)$

Step 1.3

Multiply $- 12$ by $- 1$ .

$2 x^{2} - 13 x + 7 - 1 + 12 x$

$2 x^{2} - 13 x + 7 - 1 + 12 x$

Step 2

Simplify by adding terms.

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Step 2.1

Add $- 13 x$ and $12 x$ .

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

Step 2.2

Subtract $1$ from $7$ .

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

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

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