Hi!
I'm going to go through each of the options that are shown in the picture and explain if they're equivalent or not.
• -6(2x-5)
Use the distribution property.
-12x+30
This is equivalent to -12x+30
• -6(2x+5)
Use the distribution property.
-12x-30
This is not equivalent to -12x+30
• 2(-6x+15)
Use the distribution property.
-12x+30
This is equivalent to -12x+30
• -2(-6x-15)
Use the distribution property.
12x+30
This is not equivalent to -12x+30
• x(-12+30)
x=1x
Use the distribution property.
-12x+30x
This is not equivalent to -12x+30
• -1(12x-30)
Use the distribution property.
-12x+30
This is equivalent to -12x+30
• -1(-12x+30)
Use the distribution property.
12x-30
This is not equivalent to -12x+30
The options that are equivalent are
-6(2x-5)
2(-6+15)
-(12x-30)
Hope this helps! :)
-Peredhel
