Algebra Examples

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

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

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

Step 1.2

Multiply $x$ by $x$ .

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

Step 1.3

Move $- 3$ to the left of $x$ .

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

Step 1.4

Apply the distributive property.

$x^{2} - 3 x - 4 x^{2} - 4 \cdot 7$

Step 1.5

Multiply $- 4$ by $7$ .

$x^{2} - 3 x - 4 x^{2} - 28$

$x^{2} - 3 x - 4 x^{2} - 28$

Step 2

Subtract $4 x^{2}$ from $x^{2}$ .

$- 3 x^{2} - 3 x - 28$

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