Algebra Examples

$(- 4 b^{2} + 6 b - 9) - (7 b^{2} - 2 b - 5)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$- 4 b^{2} + 6 b - 9 - (7 b^{2}) - (- 2 b) - - 5$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $7$ by $- 1$ .

$- 4 b^{2} + 6 b - 9 - 7 b^{2} - (- 2 b) - - 5$

Step 1.2.2

Multiply $- 2$ by $- 1$ .

$- 4 b^{2} + 6 b - 9 - 7 b^{2} + 2 b - - 5$

Step 1.2.3

Multiply $- 1$ by $- 5$ .

$- 4 b^{2} + 6 b - 9 - 7 b^{2} + 2 b + 5$

$- 4 b^{2} + 6 b - 9 - 7 b^{2} + 2 b + 5$

$- 4 b^{2} + 6 b - 9 - 7 b^{2} + 2 b + 5$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $7 b^{2}$ from $- 4 b^{2}$ .

$- 11 b^{2} + 6 b - 9 + 2 b + 5$

Step 2.2

Add $6 b$ and $2 b$ .

$- 11 b^{2} + 8 b - 9 + 5$

Step 2.3

Add $- 9$ and $5$ .

$- 11 b^{2} + 8 b - 4$

$- 11 b^{2} + 8 b - 4$

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