1
Question
Find 102^2 without actual multiplication
Find 102^2 without actual multiplication
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Solution
(102)^2
Using this identity
(a+b)^2=a^2+b^2+2ab
(100+2)^2=100^2+2^2+2×100×2
=10000+4+400
=10404
(102)^2=10404
Using this identity
(a+b)^2=a^2+b^2+2ab
(100+2)^2=100^2+2^2+2×100×2
=10000+4+400
=10404
(102)^2=10404
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