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4. Identities
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Q4 of 95 Page 83

Compute the following differences:

(125 × 75) – (126 × 74)

(125 × 75) can be written as (100+25)(100-25)

using identity -


(100+25)(100-25) = -


= 10000 - 625


= 9375


now (126 × 74) can be written as (100+26)(100-26)


using identity -


(100+26)(100-26) = -


= 10000 - 676


= 9324


now putting values in question


(125 × 75) – (126 × 74) = 9375-9324


= 51


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Find out the larger product of each pair below, without actual multiplication.

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Compute the following differences:

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Questions · 95
4. Identities
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