Question

(a+b) ²=(a+b) *(a+b) =a²+ab+ab+b²

Answer 1

Відповідь:

(a+b) ²=(a+b) *(a+b) =a²+ab+ab+b²

Пояснення:

(a+b) ²=(a+b) *(a+b) =a²+ab+ab+b²

Answer 2

Actually, there's a mistake in your expansion. Let's expand (a + b)² step by step using the distributive property:

(a + b)² = (a + b) * (a + b)

Using the distributive property, you multiply each term in the first set of parentheses by each term in the second set of parentheses:

(a + b) * (a + b) = a(a + b) + b(a + b)

Now, let's multiply each term:

a(a + b) = a² + ab b(a + b) = ab + b²

So, when you add these two results together, you get the correct expansion:

(a + b)² = a² + ab + ab + b²

Now, combine like terms:

a² + ab + ab + b² = a² + 2ab + b²

So, the correct expansion of (a + b)² is a² + 2ab + b².