Question

Multiply: (5t – 4)(4t + 5)

What is the product?
20t2 + 9t – 20
20t2 + 18t – 19
20t2 + 25t – 36
20t2 + 41t – 20

Answer 1

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

Answer 2

The product of the expression is:

`20t^2+9t-20`

Explanation:

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

`(5t-4)(4t+5)`

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:

`(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`

Hence, the product is:

`20t^2+9t-20`