The value of (1-x⁴)/(1+x) ÷ (1+x²)/x × 1/(x(1-x)) is · ABC26GN1193
Subject: General Aptitude · Chapter: Simplification
The value of $\frac{1-x^{4}}{1+x} \div \frac{1+x^{2}}{x} \times \frac{1}{x(1-x)}$ is
(a)1
(b)$1-x^{2}$
(c)$\frac{1}{x}$
(d)$1+x$
(e)None of these
Answer
Explanation
Given $\exp .=\frac{\left(1-x^{2}\right)\left(1+x^{2}\right)}{(1+x)} \times \frac{x}{1+x^{2}} \times \frac{1}{x(1-x)}$ $$=\frac{(1-x)(1+x)\left(1+x^{2}\right) x}{(1+x)\left(1+x^{2}\right) x(1-x)}=1 .$$
Explanation as extracted from the printed page; notation may be imperfect.
Study loop for Simplification
· Browse this chapter in the app