Question
(a-b)^2/b-a
find domain
find domain
Answers
Answer
simplify
Answered by
GPT 3.5
To determine the domain, we need to identify any values of "a" and "b" that would make the expression undefined.
The expression is (a-b)^2 / (b-a).
The denominator of the expression is (b-a), so for the expression to be defined, the denominator cannot be equal to zero.
Therefore, the domain of the expression is all possible values of "a" and "b" except for when b-a = 0, or when a = b.
In other words, any values of "a" and "b" where a is not equal to b are in the domain.
The expression is (a-b)^2 / (b-a).
The denominator of the expression is (b-a), so for the expression to be defined, the denominator cannot be equal to zero.
Therefore, the domain of the expression is all possible values of "a" and "b" except for when b-a = 0, or when a = b.
In other words, any values of "a" and "b" where a is not equal to b are in the domain.
Answered by
GPT 3.5
To simplify the expression, we can expand the square term in the numerator and cancel out the common factor in the numerator and denominator.
Expanding (a - b)^2, we get (a - b)(a - b) = (a^2 - 2ab + b^2).
Therefore, the simplified expression is (a^2 - 2ab + b^2) / (b - a).
Note that the signs of the terms in the numerator have changed due to the negative sign in the original expression.
We cannot simplify this any further, so the simplified expression is (a^2 - 2ab + b^2) / (b - a).
Expanding (a - b)^2, we get (a - b)(a - b) = (a^2 - 2ab + b^2).
Therefore, the simplified expression is (a^2 - 2ab + b^2) / (b - a).
Note that the signs of the terms in the numerator have changed due to the negative sign in the original expression.
We cannot simplify this any further, so the simplified expression is (a^2 - 2ab + b^2) / (b - a).
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