Question

the value of 100 power 2 -99 power 2 ​

Answer 1

$\\ \sf\longmapsto 100^2-99^2$

We know

$\boxed{\sf a^m-b^m=a+b}$

$\\ \sf\longmapsto 100^2-99^2$

$\\ \sf\longmapsto 100+99$

$\\ \sf\longmapsto 199$

Answer 2

100²-99² = (100-99)(100+99)

= 1(199)

= 199

the identity used is (a+b)(a-b)= a²-b²

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