Pre-Algebra Examples

$- x^{2} - 6 x (8 + 6 x)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$- x^{2} - 6 x \cdot 8 - 6 x (6 x)$

Step 1.2

Multiply $8$ by $- 6$ .

$- x^{2} - 48 x - 6 x (6 x)$

Step 1.3

Rewrite using the commutative property of multiplication.

$- x^{2} - 48 x - 6 \cdot 6 x \cdot x$

Step 1.4

Simplify each term.

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Step 1.4.1

Multiply $x$ by $x$ by adding the exponents.

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Step 1.4.1.1

Move $x$ .

$- x^{2} - 48 x - 6 \cdot 6 (x \cdot x)$

Step 1.4.1.2

Multiply $x$ by $x$ .

$- x^{2} - 48 x - 6 \cdot 6 x^{2}$

Step 1.4.2

Multiply $- 6$ by $6$ .

$- x^{2} - 48 x - 36 x^{2}$

Step 2

Subtract $36 x^{2}$ from $- x^{2}$ .

$- 37 x^{2} - 48 x$