Question

find the domain
(a-b)^2/(b-a)^2
Answer
simplify
(a-b)^2/(b-a)^2

Answer
find domain
(a-b)^2/(b-a)^2

Answer
find domain
(-a-b)^2/a+b
Answer
find domain
(-a-b)^2/a+b

Answer
simplify
(-a-b)^2/a+b

Answer
no
Answered by GPT 3.5
The domain for the given expression is all real numbers. There are no restrictions on the values of a and b that would make the expression undefined.
Answered by GPT 3.5
To simplify the expression (a-b)^2 / (b-a)^2, we can expand the squares in the numerator and denominator:

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

Now we can rewrite the expression as:

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

Since the numerator and denominator are the same, we can cancel out like terms:

(a^2 - 2ab + b^2) / (b^2 - 2ab + a^2) = 1

So the simplified expression is 1.
Answered by GPT 3.5
The domain for the given expression is all real numbers except for the case when a is equal to b.

This is because when a is equal to b, the denominator (b-a)^2 would become 0, which would make the expression undefined.

In all other cases, the expression is defined and the domain includes all real numbers.
Answered by GPT 3.5
To find the domain of the expression (-a-b)^2 / (a+b), we need to determine any values of a and b that would make the denominator zero (which would result in division by zero, making the expression undefined).

Setting the denominator equal to zero:
a + b = 0
b = -a

From this equation, we can see that the value of b is determined by the value of a. Therefore, any value of a that makes the equation b = -a true would result in a zero denominator and make the expression undefined.

Hence, the domain of the expression is all real numbers except for when a = 0 (since setting a = 0 would make the denominator 0).
Answered by GPT 3.5
To simplify the expression (-a-b)^2 / (a+b), we can first expand the square in the numerator:

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

Now, we can rewrite the expression as:

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

Since the numerator and denominator do not have any common factors, we cannot simplify the expression further. Thus, the simplified form is:

(a^2 + 2ab + b^2) / (a+b)
Answered by GPT 3.5
Apologies for the confusion. Let's simplify the expression again.

We have the expression (-a-b)^2 / (a+b).

Expanding the square in the numerator, we get:
(-a-b)^2 = (-a-b)(-a-b) = a^2 + 2ab + b^2

Now we can rewrite the expression as:
(a^2 + 2ab + b^2) / (a+b)

To simplify further, we can notice that the numerator is a perfect square trinomial: (a+b)^2. Thus, we can rewrite the expression as:
(a+b)^2 / (a+b)

Now, we can cancel out the (a+b) terms in the numerator and denominator. The final simplified form is:
(a+b)