Question

Solve the following.
$\frac{1 - {x}^{3} }{1 + x + {x}^{2} }$
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Answer 1

Step-by-step explanation:

a^3-b^3=(a-b)(a^2+ab+b^2)

Answer 2

Given :

$\longmapsto \rm \dfrac{1 - {x}^{3} }{1 + x + {x}^{2} }$

Solution :

$: \longmapsto \rm \dfrac{1 - {x}^{3} }{1 + x + {x}^{2} }$

$: \longmapsto \rm 1 \times \dfrac{{ - x}^{3} }{1} + x + {x}^{2}$

$: \longmapsto \rm { - x}^{3} + {x}^{2} + {x} + 1$