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Q.

The simplest form of ( 5 − 2 )( 2 − 3 )   is:


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a

10 − 15 −2+ 6  

b

10 + 15 −2+ 6  

c

10 + 15 +2+ 6  

d

10 + 15 +2− 6   

answer is A.

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Detailed Solution

We are given the expression to be simplified as follows, ( 5 − 2 )( 2 − 3 )  .
So, we begin by using the distributive property of multiplication to multiply and then simplify further using a × b = ab  , as follows,
5 ( 2 − 3 )− 2 ( 2 − 3 ) =( 5 × 2 )−( 5 × 3 )−( 2 × 2 )+( 2 × 3 ) = 10 − 15 −2+ 6  
 Now, it can’t be simplified any further.
So, it is the simplest form of the given expression.
Hence, the correct option is (1).
 
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