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Simplify : [(1-x²)/( x³+1)] X [(1-x²)/(1-x)²]

[\frac{(1 - x^{2})}{(x^{3} + 1)}] \times [\frac{(1 - x^{2})}{{(1 - x)}^{2}}] = [\frac{(1 - x) (1 + x)}{(x^{3} + 1)}] \times [\frac{(1 - x) (1 + x)}{{(1 - x)}^{2}}] {using the identity a^{2} - b^{2} = (a - b) (a + b)} = \frac{(1 - x) (1 + x) \times (1 - x) (1 + x)}{(1 + x) (x^{2} - x + 1) \times {(1 - x)}^{2}} {Using the identity a^{3} + b^{3} = (a + b) (a^{2} - a b + b^{2})} = \frac{(1 + x)}{(x^{2} - x + 1)}

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