Answer :

Answer:

Let's expand those expressions.

1) To expand (a² + b)(a + b²), we can use the distributive property.

(a² + b)(a + b²) = a(a² + b) + b²(a + b²)

= a³ + ab + b²a + b³

2) For (x + y)(x² - xy + y²), we can also use the distributive property.

(x + y)(x² - xy + y²) = x(x² - xy + y²) + y(x² - xy + y²)

= x³ - x²y + xy² + xy² - xy³ + y³

= x³ - x²y + 2xy² - xy³ + y³

So, the expanded forms are:

1) a³ + ab + b²a + b³

2) x³ - x²y + 2xy² - xy³ + y³

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