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]