Algebra Examples

$2 \cdot (b^{2} - b + 7) - (b^{2} + b + 8)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$2 b^{2} + 2 (- b) + 2 \cdot 7 - (b^{2} + b + 8)$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $- 1$ by $2$ .

$2 b^{2} - 2 b + 2 \cdot 7 - (b^{2} + b + 8)$

Step 1.2.2

Multiply $2$ by $7$ .

$2 b^{2} - 2 b + 14 - (b^{2} + b + 8)$

$2 b^{2} - 2 b + 14 - (b^{2} + b + 8)$

Step 1.3

Apply the distributive property.

$2 b^{2} - 2 b + 14 - b^{2} - b - 1 \cdot 8$

Step 1.4

Multiply $- 1$ by $8$ .

$2 b^{2} - 2 b + 14 - b^{2} - b - 8$

$2 b^{2} - 2 b + 14 - b^{2} - b - 8$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $b^{2}$ from $2 b^{2}$ .

$b^{2} - 2 b + 14 - b - 8$

Step 2.2

Subtract $b$ from $- 2 b$ .

$b^{2} - 3 b + 14 - 8$

Step 2.3

Subtract $8$ from $14$ .

$b^{2} - 3 b + 6$

$b^{2} - 3 b + 6$

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