Algebra Examples

$- 3 x - 8$ from $4 x^{2} - 7 x - 2$

Step 1

Write the problem as a mathematical expression.

$4 x^{2} - 7 x - 2 - (- 3 x - 8)$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$4 x^{2} - 7 x - 2 - (- 3 x) - - 8$

Step 2.2

Multiply $- 3$ by $- 1$ .

$4 x^{2} - 7 x - 2 + 3 x - - 8$

Step 2.3

Multiply $- 1$ by $- 8$ .

$4 x^{2} - 7 x - 2 + 3 x + 8$

$4 x^{2} - 7 x - 2 + 3 x + 8$

Step 3

Simplify by adding terms.

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Step 3.1

Add $- 7 x$ and $3 x$ .

$4 x^{2} - 4 x - 2 + 8$

Step 3.2

Add $- 2$ and $8$ .

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

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

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