Algebra Examples

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

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$4 x - 6 x^{2} - 7 - 1 \cdot 2 - (7 x) - (- 5 x^{2})$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $- 1$ by $2$ .

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

Step 1.2.2

Multiply $7$ by $- 1$ .

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

Step 1.2.3

Multiply $- 5$ by $- 1$ .

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

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

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

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $7 x$ from $4 x$ .

$- 3 x - 6 x^{2} - 7 - 2 + 5 x^{2}$

Step 2.2

Add $- 6 x^{2}$ and $5 x^{2}$ .

$- 3 x - x^{2} - 7 - 2$

Step 2.3

Simplify the expression.

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Step 2.3.1

Subtract $2$ from $- 7$ .

$- 3 x - x^{2} - 9$

Step 2.3.2

Reorder $- 3 x$ and $- x^{2}$ .

$- x^{2} - 3 x - 9$

$- x^{2} - 3 x - 9$

$- x^{2} - 3 x - 9$

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