Multiply the following polynomials.
Show your work.
-2r(8r+5)
A. -16r2+5
B. -16r2+10
C. -16r2-10r
D. -16r2-10
The correct solution is:
-2r(8r+5) = -2r * 8r - 2r * 5 (distribute the -2r)
= -16r^2 - 10r
Therefore, the answer is C. -16r2-10r.
To multiply the polynomials -2r(8r+5), we will use the distributive property. We distribute -2r to both terms inside the parentheses:
-2r * 8r = -16r^2
-2r * 5 = -10r
Putting the terms together, we have:
-16r^2 - 10r
Therefore, the correct answer is option C. -16r^2 - 10r.
To multiply the polynomials -2r and (8r+5), we can use the distributive property. This property states that when you multiply a number or term by a sum or difference of terms, you can distribute the multiplication to each term individually.
To multiply -2r with (8r+5), we multiply -2r with each term in the parentheses separately:
-2r * 8r = -16r^2
-2r * 5 = -10r
Putting it all together, we get:
-2r(8r+5) = -16r^2 - 10r
Therefore, the correct answer is option C. -16r^2 - 10r.