Add or subtract as indicated. (3x+2)/(3x+4) + (3x+6)/(3x+4)

검증된 단계별 안내

Identify that both rational expressions have the same denominator, which is \(3x+4\).

Since the denominators are the same, you can combine the numerators directly by adding them: \((3x+2) + (3x+6)\).

Add the numerators by combining like terms: \(3x + 3x = 6x\) and \(2 + 6 = 8\), so the numerator becomes \(6x + 8\).

Write the combined expression as a single fraction: \(\frac{6x + 8}{3x + 4}\).

Check if the numerator and denominator can be factored to simplify the expression further.

비슷한 문제에 대한 검증된 영상 답변:

이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.

영상 길이:

주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

Adding and Subtracting Rational Expressions

To add or subtract rational expressions, they must have a common denominator. Once the denominators are the same, combine the numerators by addition or subtraction while keeping the denominator unchanged.

Simplifying Algebraic Expressions

After combining numerators, simplify the resulting expression by combining like terms and factoring if possible. This helps to write the expression in its simplest form for easier interpretation.

Common Denominator Identification

A common denominator is a shared multiple of the denominators of the rational expressions involved. In this problem, both denominators are identical, so the common denominator is simply that expression, allowing direct addition of numerators.