Let's simplify the expression step by step:
First, let's simplify the inner parentheses:
(30 + 40) = 70
(40 - 30) = 10
The expression now becomes:
[(70) + (10)] x (20 + 10)
Next, let's simplify the addition within the parentheses:
(70) + (10) = 80
(20 + 10) = 30
The expression further simplifies to:
80 x 30
Finally, let's multiply:
80 x 30 = 2400
Therefore, the final result of the expression [(30+40)+(40-30)]x(20+10) is 2,400.
I hope this helps! :)