Distributive property is
a(b+c)=ab+ac so
first, distribute
remember than (-) times (-)=(+)
-5(3x-8)=(-5)(3x)+(-5)(-8)=-15x+(+40)=-15x+40
so it is -15x+40=-45
the answe ris B
The answer to blank would 3 because 2x3=6 and 7x6=42
1 is quotient , 2 is sum, 3 is difference , 4 is factor and product
Answer:
The answer is
⇒ the 4th answer
Step-by-step explanation:
* Lets talk about the product of two fraction
- If we have two fraction a/b and c/d, the product of them
will be ac/bd
- The there is any simplify can do between numerator and
denominator we must to make it
Ex: 2a²/5b × 15b/4a, we can simplify 2a² with 4a at first and
simplify 15b with 5b and then put the answer
∵ 2a²/4a = a/2 ⇒ 2 ÷ 4 = 1/2 and a² ÷ a = a
∵ 15b/5b = 3 ⇒ 15 ÷ 5 = 3 and b ÷ b = 1
∴ 2a²/5b × 15b/4a = a/1 × 3/2 = 3a/2
* Now lets solve the problem
∵ ![\frac{2y}{y-3}*\frac{4y-12}{2y+6}](https://tex.z-dn.net/?f=%5Cfrac%7B2y%7D%7By-3%7D%2A%5Cfrac%7B4y-12%7D%7B2y%2B6%7D)
- We can simplify the second fraction at first
∵
- At first we took 4 as a common factor from 4y - 12 ⇒ 4(y - 3)
and then simplify 4 with 2 in the denominator
- we can cancel the term x - 3 in the numerator of the second
fraction with the same term in the denominator of the first fraction
∴ ![\frac{2y}{1}*\frac{2(1)}{y+3}=\frac{4y}{y+3}](https://tex.z-dn.net/?f=%5Cfrac%7B2y%7D%7B1%7D%2A%5Cfrac%7B2%281%29%7D%7By%2B3%7D%3D%5Cfrac%7B4y%7D%7By%2B3%7D)
* The answer is ![\frac{4y}{y+3}](https://tex.z-dn.net/?f=%5Cfrac%7B4y%7D%7By%2B3%7D)
7y-6=4y+11
Collect like terms
7y-4y=11+6
3y=17
y=17/3