Basic Math Examples

$- 5 x (4 x - 8 y^{2} + 4)$

Step 1

Apply the distributive property.

$- 5 x (4 x) - 5 x (- 8 y^{2}) - 5 x \cdot 4$

Step 2

Simplify.

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Step 2.1

Rewrite using the commutative property of multiplication.

$- 5 \cdot 4 x \cdot x - 5 x (- 8 y^{2}) - 5 x \cdot 4$

Step 2.2

Rewrite using the commutative property of multiplication.

$- 5 \cdot 4 x \cdot x - 5 \cdot - 8 x y^{2} - 5 x \cdot 4$

Step 2.3

Multiply $4$ by $- 5$ .

$- 5 \cdot 4 x \cdot x - 5 \cdot - 8 x y^{2} - 20 x$

Step 3

Simplify each term.

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Step 3.1

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

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Step 3.1.1

Move $x$ .

$- 5 \cdot 4 (x \cdot x) - 5 \cdot - 8 x y^{2} - 20 x$

Step 3.1.2

Multiply $x$ by $x$ .

$- 5 \cdot 4 x^{2} - 5 \cdot - 8 x y^{2} - 20 x$

Step 3.2

Multiply $- 5$ by $4$ .

$- 20 x^{2} - 5 \cdot - 8 x y^{2} - 20 x$

Step 3.3

Multiply $- 5$ by $- 8$ .

$- 20 x^{2} + 40 x y^{2} - 20 x$