Finite Math Examples

$2 (4 z - 2 x + y) - 4 (5 z + x - y)$

Step 1

Simplify and reorder the polynomial.

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$2 (4 z) + 2 (- 2 x) + 2 y - 4 (5 z + x - y)$

Step 1.1.2

Simplify.

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Step 1.1.2.1

Multiply $4$ by $2$ .

$8 z + 2 (- 2 x) + 2 y - 4 (5 z + x - y)$

Step 1.1.2.2

Multiply $- 2$ by $2$ .

$8 z - 4 x + 2 y - 4 (5 z + x - y)$

Step 1.1.3

Apply the distributive property.

$8 z - 4 x + 2 y - 4 (5 z) - 4 x - 4 (- y)$

Step 1.1.4

Simplify.

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Step 1.1.4.1

Multiply $5$ by $- 4$ .

$8 z - 4 x + 2 y - 20 z - 4 x - 4 (- y)$

Step 1.1.4.2

Multiply $- 1$ by $- 4$ .

$8 z - 4 x + 2 y - 20 z - 4 x + 4 y$

Step 1.2

Simplify by adding terms.

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Step 1.2.1

Subtract $20 z$ from $8 z$ .

$- 4 x + 2 y - 12 z - 4 x + 4 y$

Step 1.2.2

Subtract $4 x$ from $- 4 x$ .

$- 8 x + 2 y - 12 z + 4 y$

Step 1.2.3

Add $2 y$ and $4 y$ .

$- 8 x + 6 y - 12 z$

Step 2

Identify the exponents on the variables in each term, and add them together to find the degree of each term.

$- 8 x \to 1$

$6 y \to 1$

$- 12 z \to 1$

Step 3

The largest exponent is the degree of the polynomial.

$1$