(X^2-16)/(X^2+8X+16) + X/(X-4)=

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(X^2-16)/(X^2+8X+16) + X/(X-4)=
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(X^2-16)/(X^2+8X+16) + X/(X-4)=
(X^2-16)/(X^2+8X+16) + X/(X-4)=

(X^2-16)/(X^2+8X+16) + X/(X-4)=
=(x-4)(x+4)/(x+4)^2+x/(x-4)
=(x-4)/(x+4)+x/(x-4)
=(2x^2-4x+16)/(x^2-16)

(2x^2-4x+16)/(x^2-16)