Question

evaluate the following using suitable identities 996^2

Answer 1

(996)^2
Using identity => (a-b)^2= a^2+b^2-2ab
(1000-4)^2
(1000)^2 +(4)^2-2(1000)(4)
1000000+16-8000
992016

Answer 2

=(996)^2

=factorise:-(1000-4)^2

=(a-b)^2=a^2-2ab+b^2x1000x4+(4)^2

=1000000-8000+16

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=992016.