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Question Number 131613 by mohammad17 last updated on 06/Feb/21

((z^3 +8)/(z^4 +4z^2 +16))

z3+8z4+4z2+16

Answered by Dwaipayan Shikari last updated on 06/Feb/21

((z^3 +8)/(z^4 +4z^2 +16))=(((z+2)(z^2 −2z+4))/((z^2 −2z+4)(z^2 +2z+4)))=((z+2)/(z^2 +2z+4))

z3+8z4+4z2+16=(z+2)(z2−2z+4)(z2−2z+4)(z2+2z+4)=z+2z2+2z+4

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