Add or subtract the rational expressions as indicated. Be sure to express your answers in simplest form.3x/(2x+5)+1

ossidianaZ

ossidianaZ

Answered question

2021-09-03

Add or subtract the rational expressions as indicated. Be sure to express your answers in simplest form.
3x2x+5+1

Answer & Explanation

Arham Warner

Arham Warner

Skilled2021-09-04Added 102 answers

An expression is a sentence with a minimum of two numbers and at least one math operation. This math operation can be addition, subtraction, multiplication, and division. A rational expression is simply a quotient of two polynomials.
The given expression is 3x2x+5+1. The LCM of the denominators of the expression (2x+5) and 1 is (2x+5). So multiply with corresponding values to make the denominators equal to (2x+5) and then simplify as follows:
3x2x+5+1=3x(2x+5)+1
=3x(2x+5)+1×(2x+5)(2x+5) - Make the denomiantors equal to (2x+5).
=3x+(2x+5)(2x+5) - Combine the terms.
=(5x+5)(2x+5)
=5(x+1)(2x+5)
=5x+12x+5
The simplified form of given rational expression is 3x2x+5+1=5x+12x+5

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