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\begin { equation } \frac{x^{3}}{x-2}+\frac{8}{2-x} \end { equation } |
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Answer» Take LCM(x^3-8)/(x-2).......(1)(x^3-2^3)/(x-2)a^3-b^3=(a-b)(a^2+b^2+ab)x^3-2^3=(x-2)(x^2+4+2x)equation (1) becomes(x-2)(x^2+4+2x)/(x-2)(x-2) gets cancelled=x^2+4+2xx=-1+√3ix=-1-√3i |
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