Algebra Examples

$x^{7} + y^{8} + x^{7} - y^{8}$

Step 1

Simplify and reorder the polynomial.

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Step 1.1

Combine the opposite terms in $x^{7} + y^{8} + x^{7} - y^{8}$ .

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Step 1.1.1

Subtract $y^{8}$ from $y^{8}$ .

$x^{7} + x^{7} + 0$

Step 1.1.2

Add $x^{7} + x^{7}$ and $0$ .

$x^{7} + x^{7}$

Step 1.2

Add $x^{7}$ and $x^{7}$ .

$2 x^{7}$

Step 2

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

$2 x^{7} \to 7$

Step 3

The largest exponent is the degree of the polynomial.

$7$