# Simplify ( cube root of x+ cube root of y)( cube root of x^2- cube root of xy+ cube root of y^2) Expand by multiplying each term in the first expression by each term in the second expression.
Simplify terms.
Simplify each term.
Multiply .
Combine using the product rule for radicals.
Multiply by by adding the exponents.
Multiply by .
Raise to the power of .
Use the power rule to combine exponents.
Pull terms out from under the radical, assuming real numbers.
Rewrite using the commutative property of multiplication.
Multiply .
Combine using the product rule for radicals.
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Combine using the product rule for radicals.
Combine using the product rule for radicals.
Rewrite using the commutative property of multiplication.
Multiply .
Combine using the product rule for radicals.
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Multiply .
Combine using the product rule for radicals.
Multiply by by adding the exponents.
Multiply by .
Raise to the power of .
Use the power rule to combine exponents.
Pull terms out from under the radical, assuming real numbers.
Combine the opposite terms in .
Subtract from .
Reorder and .
Simplify ( cube root of x+ cube root of y)( cube root of x^2- cube root of xy+ cube root of y^2)

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