Question

How do you simplify 3xy+6xyz-12yz using distributive property?

Answer 1

`3y(x+xz-4z)`

Step-by-step explanation

the distributive property is that multiplying a number by a sum is the same as doing each multiplication separately

`a(b+c)=ab+ac`

Step 1

`3xy+6xyz-12yz`

get the factors of each term

`\begin{gathered} 3xy=3\cdot x\cdot y \\ 6xyz=2\cdot3\cdot x\cdot y\cdot z \\ -12yz=2\cdot2\cdot3\cdot y\cdot z \end{gathered}`

the commom factor is 3y

hence factorize 3y

`\begin{gathered} 3xy+6xyz-12yz \\ 3xy+6xyz-12yz=3y((3xy)/(3y)+(6xyz)/(3y)-(12yz)/(3y)) \\ 3xy+6xyz-12yz=3y(x+xz-4z) \end{gathered}`

I hope this helps you