The simplification of (x+2)/x² ÷( x²-4)/x+3 is (x+3)/x²( x-2). ( option C)
What are algebraic fractions?
Algebraic fractions involve variables in the numerator, denominator, or both. Expressions like (2x + 3)/(x - 1) are algebraic fractions.
They require algebraic methods for simplification, addition, subtraction, multiplication. e.t.c
simplifying; (x+2)/x² ÷( x²-4)/x+3
we can simplify x² - 4 first
x² - 4 = x² - 2² = (x-2)(x+2)
therefore;
x+2)/x² ÷( x²-4)/x+3
= (x+2)/x² × (x+3)/(x+2)(x-2)
= (x+3)/x²( x-2)
Therefore simplification of (x+2)/x² ÷( x²-4)/x+3 is (x+3)/x²( x-2).