Multiply the following polynomials.
1. -2r(8r+5)
A. -16r^2+5
B. -16r^2+10
C. -16r^2-10r
D. -16r^2-10
2. 2a(a^2+4a)
A. 2a^2+6a^2
B. 2a^3+8a^2
C. 2a+6a
D. 2a^3+6a^2
3. (3y)(3y-2)
A. 9y^2-6
B. 9y^2+5y
C. 9y^2+1
D. 9y^2-6y
1.B
2.A
3.B
1 C
2 B
3 D
looks like you were just wildly guessing
1. -2r(8r+5) = -16r^2 - 10r (D)
2. 2a(a^2+4a) = 2a^3 + 8a^2 (B)
3. (3y)(3y-2) = 9y^2 - 6y (D)
1. -2r(8r+5)
First, distribute -2r to both terms in the parentheses:
-2r * 8r = -16r^2
-2r * 5 = -10r
So the resulting expression is: -16r^2 - 10r
Therefore, the correct answer is option D: -16r^2 - 10r.
2. 2a(a^2+4a)
First, distribute 2a to both terms in the parentheses:
2a * a^2 = 2a^3
2a * 4a = 8a^2
So the resulting expression is: 2a^3 + 8a^2
Therefore, the correct answer is option B: 2a^3 + 8a^2.
3. (3y)(3y-2)
First, distribute 3y to both terms in the parentheses:
3y * 3y = 9y^2
3y * -2 = -6y
So the resulting expression is: 9y^2 - 6y
Therefore, the correct answer is option B: 9y^2 - 6y.
To multiply polynomials, you need to distribute the terms. Here's how you can get the answer for each of the given questions:
1. -2r(8r+5):
Multiply -2r by each term inside the parentheses:
-2r * 8r = -16r^2
-2r * 5 = -10r
The final result is -16r^2 - 10r, so the answer is option C.
2. 2a(a^2+4a):
Multiply 2a by each term inside the parentheses:
2a * a^2 = 2a^3
2a * 4a = 8a^2
The final result is 2a^3 + 8a^2, so the answer is option B.
3. (3y)(3y-2):
Multiply 3y by each term inside the parentheses:
3y * 3y = 9y^2
3y * -2 = -6y
The final result is 9y^2 - 6y, so the answer is option D.
Therefore, the correct answers are:
1. Option C (-16r^2-10r)
2. Option B (2a^3+8a^2)
3. Option D (9y^2-6y)