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  4. The multiplicative inverse of the product of the additive inverse of x-1 and the multiplicative inverse of x2-1 is

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Q. The multiplicative inverse of the product of the additive inverse of $x-1$ and the multiplicative inverse of $x^2-1$ is

Polynomials

Solution:

The product $=-(x-1) \times \frac{1}{x^2-1}=\frac{-1}{x+1}$
Its multiplicative inverse is $-(x+1)$.