Pre-Algebra Examples

$- 7 x (5 - x)$

Step 1

Simplify by multiplying through.

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Step 1.1

Apply the distributive property.

$- 7 x \cdot 5 - 7 x (- x)$

Step 1.2

Simplify the expression.

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Step 1.2.1

Multiply $5$ by $- 7$ .

$- 35 x - 7 x (- x)$

Step 1.2.2

Rewrite using the commutative property of multiplication.

$- 35 x - 7 \cdot - 1 x \cdot x$

Step 2

Simplify each term.

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Step 2.1

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

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Step 2.1.1

Move $x$ .

$- 35 x - 7 \cdot - 1 (x \cdot x)$

Step 2.1.2

Multiply $x$ by $x$ .

$- 35 x - 7 \cdot - 1 x^{2}$

Step 2.2

Multiply $- 7$ by $- 1$ .

$- 35 x + 7 x^{2}$