1. Find the product. (2x)(10x)
20x
12x
20x^2
5x
2. -3m(m + 8)
-3m^2 + 24
-3m^2 + 24m
-24m^2
-4m + 5
3. 4d(2d - 9)
8d - 36d
-d
-28d^2
8d^2 - 36d
None of your answers is right.
You may have a typo in # 2 because none of your choices is correct.
1. 2x(10x) = 20x^2
2. You can check because if -3m(m + 8)
-3m(m-8)
= -3m^2 + 24m
3. 4d(2d - 9)
= -8d^2 - 36d
To find the product in each of these expressions, you need to apply the distributive property. This property states that when you multiply a number or variable by a sum or difference of terms, you need to multiply each term individually and then combine like terms, if applicable.
1. To find the product (2x)(10x), apply the distributive property:
(2x)(10x) = 2x * 10x = 20x^2
2. To find the product -3m(m + 8), apply the distributive property:
-3m(m + 8) = -3m * m + (-3m * 8) = -3m^2 - 24m
3. To find the product 4d(2d - 9), apply the distributive property:
4d(2d - 9) = 4d * 2d + (4d * -9) = 8d^2 - 36d
So the correct answers are:
1. 20x^2
2. -3m^2 - 24m
3. 8d^2 - 36d
1. D
2. B
3. C
Those are the answers in my book.
& Sorry! How about now?
1. C
2. A
3. D