Multiply the following polynomials.
–2r(8r + 5)
A. –16r2 + 5
B. –16r2 + 10
C. –16r2 – 10r
D. –16r2 – 10
Using the distributive property, we have:
-2r(8r + 5) = (-2r)(8r) + (-2r)(5)
= -16r^2 - 10r
Therefore, the answer is option C: -16r^2 - 10r.
To multiply the two polynomials, we will use the distributive property. This means that we will multiply each term from the first polynomial by each term from the second polynomial.
-2r(8r + 5) can be simplified as follows:
-2r * 8r = -16r^2
-2r * 5 = -10r
Therefore, the product of -2r(8r + 5) is:
-16r^2 - 10r
So, the correct answer is D. -16r^2 - 10r.
To multiply the given polynomials, you can use the distributive property of multiplication over addition. This property states that you need to multiply each term of the first polynomial by each term of the second polynomial.
In this case, you have -2r as the first polynomial and (8r + 5) as the second polynomial.
So, let's distribute -2r to each term in (8r + 5):
-2r * 8r = -16r^2
-2r * 5 = -10r
Now, we can combine the like terms:
-16r^2 - 10r
Therefore, the correct answer is option C. –16r^2 – 10r.