Question

please solve the question... Using brackets expand and simplify-102×105..Please

Answer 1

102 × 105
(100 + 2)(100+5)
10000 + (2 +5)100 + 2 × 5
10000+700+10
10710

Answer 2

Answer:

10710.

Step-by-step explanation:

Given:- 102 × 105

To Find:- Expand and simplify 102 × 105

Solution:-

Expanding a bracket means multiplying each term in the bracket by the expression outside the bracket.

Example:- 5( v + 2 ) = 5 × v + 5 × 2 = 5v + 10

Here the given expression is 102 × 105.

In the above expression, we can write 102 as ( 100 + 2 ) as well as 105 as ( 100 + 5 ).

∴ 102 × 105 = ( 100 + 2 ) × ( 100 + 5 )

                   = ( 100 + 2 ) × 100 + ( 100 + 2 ) × 5

Multiplying all terms with each other, we get

                   = ( 10000 + 200 ) + ( 500 + 10 )

                   = ( 10200 ) + ( 510 )

                   = 10710.

Therefore, 102 × 105 = 10710.

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