# Find the Degree 2x^2(x-1)(x+2)^3(x^2+1)^2

Apply the distributive property.

Multiply by by adding the exponents.

Move .

Multiply by .

Raise to the power of .

Use the power rule to combine exponents.

Add and .

Multiply by .

Use the Binomial Theorem.

Simplify each term.

Multiply by .

Raise to the power of .

Multiply by .

Raise to the power of .

Expand by multiplying each term in the first expression by each term in the second expression.

Simplify terms.

Simplify each term.

Multiply by by adding the exponents.

Move .

Use the power rule to combine exponents.

Add and .

Rewrite using the commutative property of multiplication.

Multiply by by adding the exponents.

Use the power rule to combine exponents.

Add and .

Multiply by .

Rewrite using the commutative property of multiplication.

Multiply by by adding the exponents.

Multiply by .

Raise to the power of .

Use the power rule to combine exponents.

Add and .

Multiply by .

Multiply by .

Multiply by by adding the exponents.

Move .

Use the power rule to combine exponents.

Add and .

Rewrite using the commutative property of multiplication.

Multiply by by adding the exponents.

Use the power rule to combine exponents.

Add and .

Multiply by .

Rewrite using the commutative property of multiplication.

Multiply by by adding the exponents.

Multiply by .

Raise to the power of .

Use the power rule to combine exponents.

Add and .

Multiply by .

Multiply by .

Simplify by adding terms.

Subtract from .

Subtract from .

Subtract from .

Rewrite as .

Expand using the FOIL Method.

Apply the distributive property.

Apply the distributive property.

Apply the distributive property.

Simplify and combine like terms.

Simplify each term.

Multiply by by adding the exponents.

Use the power rule to combine exponents.

Add and .

Multiply by .

Multiply by .

Multiply by .

Add and .

Expand by multiplying each term in the first expression by each term in the second expression.

Simplify terms.

Simplify each term.

Multiply by by adding the exponents.

Move .

Use the power rule to combine exponents.

Add and .

Rewrite using the commutative property of multiplication.

Multiply by by adding the exponents.

Use the power rule to combine exponents.

Add and .

Multiply by .

Multiply by .

Multiply by by adding the exponents.

Move .

Use the power rule to combine exponents.

Add and .

Rewrite using the commutative property of multiplication.

Multiply by by adding the exponents.

Use the power rule to combine exponents.

Add and .

Multiply by .

Multiply by .

Multiply by by adding the exponents.

Move .

Use the power rule to combine exponents.

Add and .

Rewrite using the commutative property of multiplication.

Multiply by by adding the exponents.

Use the power rule to combine exponents.

Add and .

Multiply by .

Multiply by .

Multiply by by adding the exponents.

Move .

Use the power rule to combine exponents.

Add and .

Rewrite using the commutative property of multiplication.

Multiply by by adding the exponents.

Use the power rule to combine exponents.

Add and .

Multiply by .

Multiply by .

Multiply by by adding the exponents.

Move .

Use the power rule to combine exponents.

Add and .

Rewrite using the commutative property of multiplication.

Multiply by by adding the exponents.

Use the power rule to combine exponents.

Add and .

Multiply by .

Multiply by .

Simplify by adding terms.

Add and .

Add and .

Subtract from .

Subtract from .

Subtract from .

Subtract from .

Reorder.

Move .

Move .

The degree is the sum of the exponents of each variable in the expression. In this case, the degree of is .

The degree is the sum of the exponents of each variable in the expression. In this case, the degree of is .

The degree is the sum of the exponents of each variable in the expression. In this case, the degree of is .

Identify the term with the largest exponent on the variable.

The degree of the polynomial is the largest exponent on the variable.

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