Answer:
R.H.S \[={{\left( 9982 \right)}^{2}}-{{\left( 18 \right)}^{2}}\] \[=\left( 9982+18 \right)\left( 9982-18 \right)~\] \[[Since,\text{ }{{a}^{2}}-{{b}^{2}}=\left( a+b \right)\left( a-b \right)]\] \[=\left( 10000 \right)\times \left( 9964 \right)~\] L.H.S \[=\left( 10000 \right)\text{ }\times \text{ }x\] Comparing L.H.S. and R.H.S, we get \[10000x\text{ }=\text{ }10000\times 9964\] or x \[=\frac{10000\times 9964}{10000}=9964\]
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