Describe the error made in subtracting the two rational expressions shown:

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MsEHolt MsEHolt · Answer 1 · 2018-10-08T03:43:23+02:00

The correct answer is:

The numerator of the answer should be 3.

Explanation:

The common denominator has been found accurately and the expressions have been accurately changed to reflect that denominator.

The mistake occurs when the subtraction is done. The subtraction of the numerators would be

(x+1)-(x-2)

Distributing the subtraction sign would give us

x+1-x--2 = x+1-x+2

The x's would cancel, leaving 1+2 = 3.

akposevictor akposevictor · Answer 2 · 2022-06-07T18:00:49+02:00

The error that was made during the subtraction of the two rational expressions. The right answer is: 3/(x - 2)(x + 1).

Rational expressions are expressions that involve the ratios of polynomials.

Given the rational expressions, 1/x - 2 - 1/x + 1, the right way to solve this is shown below:

The common denominator is (x - 2)(x + 1), therefore,

1(x + 1) - 1(x - 2) / (x - 2)(x + 1)

(x + 1 - x + 2) / (x - 2)(x + 1)

= 3/(x - 2)(x + 1)

Thus, the error made is during the subtraction of the numerator. It should be 3 and not -1.

Learn more about rational expressions on:

https://brainly.com/question/25292194

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