Question

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

Answer 1

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

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

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

I hope this helps you