This is similar to adding fractions. Find a common denominator. Add the new numerators. If you need to simplify, try to factor the numerator, or use long division.
Example: x/(x+2) + 1/(x+3). The common denominator will be (x+2)(x+3), so we have:
[x(x+3) + (x+2)] / [(x+2)(x+3)] = [x2 +3x + x + 2] / [(x+2)(x+3)]
=[ x2 + 4x + 2] / [(x+2)(x+3)]. The numerator has roots of -2 ± sqrt(2), so I'd leave it as is.
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what are the example of quotient orf rational algebraic expression.
A rational algebraic expression is the ratio of two polynomials, each with rational coefficients. By suitable rescaling, both the polynomials can be made to have integer coefficients.
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an algebraic expression is an expression built up from constants, variables, and a finite number of algebraic operations (addition, subtraction, multiplication,division and exponentiation to a power that is a rational number). For example,
Lcd/lcm