3. Find the products. a) $$ (a+b)\left(a^{2}-a b+b^{2}\right) $$ b) $$ (x-y)\left(x^{2}+x y+y^{2}\right) $$

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**a) Expanding $$ (a+b)\left(a^{2}-ab+b^{2}\right) $$**

1. Recognize that the product is of the form that appears in the sum of cubes factorization:
   $$
   a^3 + b^3 = (a+b)\left(a^{2}-ab+b^{2}\right)
   $$
2. Therefore, the product simplifies directly to:
   $$
   a^3 + b^3
   $$

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**b) Expanding $$ (x-y)\left(x^{2}+xy+y^{2}\right) $$**

1. Recognize that the product is of the form that appears in the difference of cubes factorization:
   $$
   x^3 - y^3 = (x-y)\left(x^{2}+xy+y^{2}\right)
   $$
2. Therefore, the product simplifies directly to:
   $$
   x^3 - y^3
   $$
a) $$ a^3 + b^3 $$ b) $$ x^3 - y^3 $$

Find the products.
a)
b)

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Find the products. a) b)