We want to see which of the given equation applies correctly the distributive property.
The correct option is the second one:
0.7*0.7 + 0.7*0.9 + 0.7*0.2 = 0.7*(0.7+0.9+0.2)
The first thing we need to do is define the distributive property.
For 3 values A, B, and C, the distributive property says that:
A*(B + C) = A*B + A*C
Notice that it can also be used in the inverse order, for example in:
A*B + A*C + A*D
You can see that the factor "A" appears in the 3 terms, then "A" is the common factor, and we can write:
A*B + A*C + A*D = A*(B + C + D).
Now we just need to see which one of the given options applies this.
The option that does it is the second one:
0.7*0.7 + 0.7*0.9 + 0.7*0.2 = 0.7*(0.7+0.9+0.2)
As you can see, the factor 0.7 appears in the 3 terms, then we can use it as a common factor and use the distributive property.
Then we can conclude that the correct option is the second one.
If you want to learn more, you can read:
https://brainly.com/question/13130806
