Finite Math Examples

$(2 x y^{2} - 3 x^{2} y) - (2 x^{2} y^{2} - 4 x^{2} y)$

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.

$2 x y^{2} - 3 x^{2} y - (2 x^{2} y^{2}) - (- 4 x^{2} y)$

Step 1.1.2

Multiply $2$ by $- 1$ .

$2 x y^{2} - 3 x^{2} y - 2 (x^{2} y^{2}) - (- 4 x^{2} y)$

Step 1.1.3

Multiply $- 4$ by $- 1$ .

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

Step 1.1.4

Remove parentheses.

$2 x y^{2} - 3 x^{2} y - 2 x^{2} y^{2} + 4 x^{2} y$

Step 1.2

Simplify by adding terms.

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Step 1.2.1

Add $- 3 x^{2} y$ and $4 x^{2} y$ .

$2 x y^{2} + 1 x^{2} y - 2 x^{2} y^{2}$

Step 1.2.2

Multiply $x^{2}$ by $1$ .

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

Step 2

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

$2 x y^{2} \to 3$

$x^{2} y \to 3$

$- 2 x^{2} y^{2} \to 4$

Step 3

The largest exponent is the degree of the polynomial.

$4$