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

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.

simplify

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

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.

find domain

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

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.

find domain

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

find domain

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

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).

simplify

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

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)