Question

Multiply. Write the expression such that the terms are in descending order with respect to the power of r and the variables within each term are in alphabetical order. (r−2t)(r+2t)

Answer 1

The final expression is r^2 - 4t^2.

Step-by-step explanation:

To multiply the expression (r-2t)(r+2t), we can use the distributive property to multiply each term in the first parentheses by each term in the second parentheses. Doing so, we get:

(r-2t)(r+2t) = r(r+2t) - 2t(r+2t)

Simplifying further, we have:

r(r+2t) - 2t(r+2t) = r^2 + 2rt - 2rt - 4t^2

Combining like terms, the expression becomes:

r^2 - 4t^2