Algebra Examples

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

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

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

Step 1.2

Simplify.

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Step 1.2.1

Multiply $- 5$ by $- 1$ .

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

Step 1.2.2

Multiply $5$ by $- 1$ .

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

Step 1.2.3

Multiply $- 1$ by $- 3$ .

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

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

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

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $5 x$ from $x$ .

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

Step 2.2

Add $- 4 x^{2}$ and $5 x^{2}$ .

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

Step 2.3

Add $7$ and $3$ .

$x^{2} - 4 x + 10$

$x^{2} - 4 x + 10$

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