Respuesta :
Distributive property can be defined as :
a(b+c)= (a*b) + (a*c)
So, the given expression 3xy+6yz can be written as :
1st way :
[tex]3y(x+2z)[/tex] = 3xy+6yz
2nd way :
[tex]3(xy+2yz)[/tex] = 3xy+6yz
The two different ways to rewrite 3xy+6yz is by taking 3 and y as common.
Distributive property,
The distributive property of multiplication is that when two numbers are added such as (a+b) and multiplied by a third number such as x, then the result will be the sum of multiplication of the third number with the first number (xa) and the third number with the second number (xb).
x(a+b) = xa + xb,
Given to us,
- equation, 3xy+6yz
Solution
Now, two different ways to rewrite 3xy+6yz are:
1.) 3xy+6yz
taking y as common,
3xy+6yz = y(3x+6z)
2.) 3xy+6yz
taking 3 as common,
3xy+6yz = 3(xy+2yz)
Hence, the two different ways to rewrite 3xy+6yz is by taking 3 and y as common.
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