Algebra Examples

$2 x^{2} + 6 x - 5$ from $7 x^{2} + 3 x + 4$

Step 1

Write the problem as a mathematical expression.

$7 x^{2} + 3 x + 4 - (2 x^{2} + 6 x - 5)$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$7 x^{2} + 3 x + 4 - (2 x^{2}) - (6 x) - - 5$

Step 2.2

Simplify.

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Step 2.2.1

Multiply $2$ by $- 1$ .

$7 x^{2} + 3 x + 4 - 2 x^{2} - (6 x) - - 5$

Step 2.2.2

Multiply $6$ by $- 1$ .

$7 x^{2} + 3 x + 4 - 2 x^{2} - 6 x - - 5$

Step 2.2.3

Multiply $- 1$ by $- 5$ .

$7 x^{2} + 3 x + 4 - 2 x^{2} - 6 x + 5$

$7 x^{2} + 3 x + 4 - 2 x^{2} - 6 x + 5$

$7 x^{2} + 3 x + 4 - 2 x^{2} - 6 x + 5$

Step 3

Simplify by adding terms.

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Step 3.1

Subtract $2 x^{2}$ from $7 x^{2}$ .

$5 x^{2} + 3 x + 4 - 6 x + 5$

Step 3.2

Subtract $6 x$ from $3 x$ .

$5 x^{2} - 3 x + 4 + 5$

Step 3.3

Add $4$ and $5$ .

$5 x^{2} - 3 x + 9$

$5 x^{2} - 3 x + 9$

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