The rational expression that results into x-4/2(x+4) is<em> x²-16/2x+8 * x+4/x²+8x+16</em>
<h3>Multiplying rational expressions</h3>
Rational expressions are written in the form a/b where a and b are integers.
According to the question, we need to determine the expression that is equal to x-4/2(x+4)
From the fourth option;
x²-16/2x+8 * x+4/x²+8x+16
Factorize the quadratic part to have;
x²-16/2x+8 * x²+8x+16/x+4
(x+4)(x-4)/2(x+4) * x+4/(x+4)^2
Cancel out the common expression to have;
x-4 * 1/2(x+4)
x-4/2(x+4)
Hence the rational expression that results into x-4/2(x+4) is<em> x²-16/2x+8 * x+4/x²+8x+16</em>
Learn more rational expression here: brainly.com/question/25292194
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