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.

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Updated on: 10-Oct-2022

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