Simplify using Identities198×198-102×10296
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(i) (198 × 198 – 102 × 102)/96
Using formula (a – b) (a + b) = a2 – b2
We get,
(198 × 198 – 102 × 102)/96
= ((198)2 – (102)2)/96
= ((198-102) (198+102))/96
= (96 × 300)/96
= 300
(ii) 1.73 × 1.73 – 0.27 × 0.27
Using formula
(a – b) (a + b) = a2 – b2 1.73 × 1.73 – 0.27 × 0.27 = (1.73)2 – (0.27)2 = (1.73-0.27) (1.73+0.27) = 1.46 × 2 = 2.92
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Correct Question:
(198 × 198 – 102 × 102)/96
(198 × 198 – 102 × 102)/96
Using formula (a – b) (a + b) = a2 – b2
We get,
(198 × 198 – 102 × 102)/96 =
(198)2 – (102)2)/96 = (198-102) (198+102))/96 =
(96 × 300)/96 = 300
Hence , the answer is 300 .
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