Respuesta :

The answer is this 20t2 + 9t – 20. Go look up a video for foiling 

Answer:

The product of the expression is:

            [tex]20t^2+9t-20[/tex]

Step-by-step explanation:

We have to find the product of two algebraic  expressions which are given in terms of variable t  as:

           [tex](5t-4)(4t+5)[/tex]

We know that the product of two linear function will result in a quadratic equation i.e. a polynomial of degree 2.

We find the product as follows:

[tex](5t-4)(4t+5)=5t(4t+5)-4(4t+5)\\\\\\i.e.\\\\\\(5t-4)(4t+5)=20t^2+25t-16t-20\\\\\\i.e.\\\\(5t-4)(4t+5)=20t^2+9t-20[/tex]

Hence, the product is:

        [tex]20t^2+9t-20[/tex]