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Algebraic expression for the given statement is
[tex]9t^2 + 3(2+t)[/tex]
Given :
The product of 9 and t squared, increased by 3 times the sum of 2 and t squared
Product means the multiplication
t squared is [tex]t^2[/tex]
The product of 9 and t squared is written as
[tex]9 \cdot t^2\\9t^2[/tex]
lets write the expression for 3 times the sum of 2 and t
3 times (2+t)
[tex]3(2+t)[/tex]
The product of 9 and t squared, increased by 3 times the sum of 2 and t squared .
Algebraic expression is
[tex]9t^2 + 3(2+t)[/tex]
Learn more : brainly.com/question/15307176