Simplify the following:$1234 \times 567-234\times 567$

Given :

The given expression is $1234 \times 567-234\times 567$.

To do :

We have to simplify the given expression.

Solution :

The distributive property of multiplication states that when a factor is multiplied by the sum or difference of two terms, it is essential to multiply each of the two numbers by the factor, and finally perform the addition or subtraction operation.

This property is symbolically stated as:

$a (b - c) = a \times b - a \times c$

Therefore, using the distributive property

$1234 \times 567-234\times 567 = 567 \times (1234-234)$

                                             $=567 \times 1000$

                                             $= 567000$.

Therefore, the value of the given expression is 567000.

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Updated on: 10-Oct-2022

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