Answer: Option B is the correct answer
Explanation:
The given expression is
(–7t – 5v)(–4t – 3v).
The product will be a quadratic equation (having 2 as the highest power)
To find the product, we would expand the brackets
(-7t × -4t )+ (-7t × -3v) + (-5v × -4t) + (-5v × - 3v)
= (- -28t^2) +(- -21tv) + (- - 20tv) +(- -15v^2)
Recall, negative × negative equals positive.
=28t^2 +21tv +20tv+ 15v^2)
Collecting like terms, we add all terms containing the same letters together
28t^2 + 41tv + 15v^2
Option B is the correct answer