Consider the expression H = a^ -2 - 2a^ -1 + 1

MATHEMATICS · Multi-part · CBSE · Mathematics · Number Systems · Number Systems

Problem

Consider the expression H=a−2−2a−1+1,H = a^{-2} - 2a^{-1} + 1, where a≠0a \neq 0. (i) Rewrite each term of HH using positive exponents only. (ii) Show that HH can be factorised into a perfect square. (iii) Using the factorised form, evaluate HH when a=4a = 4.

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