The algebraic expression for the product of 9 and t squared is 9t^2
The algebraic expression for the sum of the square of t and 2 is t^2 + 2
The word 'increased' means addition.
Therefore, the algebraic expression for the product of 9 and t squared, increased by the sum of the square oft and 2 is
9t^2 + t^2 + 2