Multiply: (5t – 4)(4t + 5)
what is the product?
20t2 + 9t – 20
20t2 + 18t – 19
20t2 + 25t – 36
20t2 + 41t – 20

The product of the expression is:

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

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:

Hence, the product is:

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.