Question

( a + b ) ( a^2 - ab + b^2 )

Answer 1

Это формула: (a+b)(a²-ab+b²) = a²+b²

Answer 2

a^3+b^3просто используйте формулу и метод привидения

Answer 3

To expand the expression (a + b)(a^2 - ab + b^2), you can use the distributive property of multiplication. This property states that the product of a sum is equal to the sum of the products of its individual terms. Let's apply this property to the given expression:

(a + b)(a^2 - ab + b^2)

Step 1: Distribute a into the second parentheses: a * a^2 - a * ab + a * b^2

Step 2: Distribute b into the second parentheses: b * a^2 - b * ab + b * b^2

Now, simplify each term:

a * a^2 = a^3 a * ab = a^2b a * b^2 = ab^2

b * a^2 = a^2b b * ab = ab^2 b * b^2 = b^3

Putting it all together:

a^3 - a^2b + ab^2 + a^2b - ab^2 + b^3

The terms -a^2b and +a^2b cancel each other out, and we are left with:

a^3 + b^3

So, (a + b)(a^2 - ab + b^2) expands to a^3 + b^3.