\(S=\dfrac{3x+6}{x^2-4x+4}-\dfrac{5x-16}{x^2+4x+4}\)
\(S=\dfrac{3x+6}{\left(x-2\right)^2}-\dfrac{5x-16}{\left(x+2\right)^2}\)
\(S=\dfrac{3x+6}{\left(x-2\right)^2}-\dfrac{5x-16}{-\left(x-2\right)^2}\)
\(S=\dfrac{3x+6}{\left(x-2\right)^2}-\dfrac{-(5x-16)}{\left(x-2\right)^2}\)
\(S=\dfrac{3x+6}{\left(x-2\right)^2}-\dfrac{-5x+16}{\left(x-2\right)^2}\)
\(S=\dfrac{3x+6-\left(-5x\right)+16}{\left(x-2\right)^2}\)
\(S=\dfrac{3x-\left(-5x\right)+6+16}{\left(x-2\right)^2}\)
\(S=\dfrac{8x+22}{\left(x-2\right)^2}\)
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