Question

Expressing as a difference to two squares Find the value of 101*99​

Answer 1

101=100+1

99=100-1

ANSWER:-

100×100-1×1

100^2-1^2

10000-1

9999

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Answer 2

101=(100+1)

99=(100-1)

put this value in 101×99

hence

101×99=(100+1)×(100-1)

=(a+b)×(a-b)=a² - b²

=100² - 1²

=10000-1

=9999

hence 101×99=9999