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\frac{x+16}{x^{2}-2x+4x-8}
Apply the distributive property by multiplying each term of x+4 by each term of x-2.
\frac{x+16}{x^{2}+2x-8}
Combine -2x and 4x to get 2x.
\frac{x+16}{x^{2}-2x+4x-8}
Apply the distributive property by multiplying each term of x+4 by each term of x-2.
\frac{x+16}{x^{2}+2x-8}
Combine -2x and 4x to get 2x.