Question

Evaluate 2008 * 20092009 - 2009 * 20082008

Answer 1

Answer:

0

Step-by-step explanation:

2008 × 20092009 - 2009× 20082008

= 2008 ( 20092009 - 2009 × 10001 )

= 2008 × 2009 ( 10001 - 10001 )

= 2008 × 2009 × 0

=0

Answer 2

Therefore the value of the given number 2008 × 20092009 - 2009 × 20082008 is '0'.

Given:

The number = 2008 × 20092009 - 2009 × 20082008

To Find:

The value of the given number 2008 × 20092009 - 2009 × 20082008

Solution:

The given question can be solved very easily as shown below.

Given number = 2008 × 20092009 - 2009 × 20082008

⇒ 2008 × 20092009 - 2009 × 20082008 = 2008 × 2009 ( 1 × 22 - 1 × 22 )

⇒ 2008 × 2009 ( 22 - 22 ) = 2008 × 2009 × 0 = 0

Therefore the value of the given number 2008 × 20092009 - 2009 × 20082008 is '0'.

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