Question

(а+b) (a^2-ab+b^2).

Answer 1

Ответ:
(а+b)(a^2-ab+b^2)=a^3+b^3

Answer 2

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

Answer 3

To simplify the given expression, we can use the distributive property of multiplication over addition. The expression is:

(а + b) * (a^2 - ab + b^2)

Now, let's expand it step by step:

Step 1: Distribute the first term "а" to each term inside the second parentheses:

а * a^2 + а * (-ab) + а * b^2

Step 2: Distribute the second term "b" to each term inside the second parentheses:

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

Step 3: Simplify each term:

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

Step 4: Combine like terms:

The terms "-a^2b" and "+a^2b" cancel each other out, leaving us with:

a^3 + b^3

So, the simplified expression is:

a^3 + b^3