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Apply Distributive property :
$638\times176-638\times75-638$
Given :
The given expression is $638\times176-638\times75-638$
To do :
We have to apply the Distributive property to the following expression.
Solution :
Distributive property of multiplication over subtraction.
$a\times(b-c) = a\times b - a\times c$
Given,
$638\times176-638\times75-638$
$638\times176-638\times75-638 = 638\times176-638\times75-638\times1$
As we can see 638 is common in all the three terms, we can take 638 common
$638\times176-638\times75-638\times1 = 638\times(176-75-1) $ [Using Distributive property]
$= 638\times(176-76)$
$= 638\times100$
= $63800$.
The value of given expression $638\times176-638\times75-638$ is 63800.