Answer:
We can describe FOIL using the distributive property of multiplication. For real numbers x, y, and z the distributive property of multiplication states that

Now let
, where v and w are real numbers.
Then 
Here, we can again use the distributive property of multiplication to get

Hence, it follows that

This is the method of FOIL (first: xv, outside: xw, inside: yv, last: yw)
For example, 
Answer:
17
Step-by-step explanation:
30 gallons of red paint & 20 gallons of blue paint
Step-by-step explanation:
The ratio of red to blue paint drops to make purple paint is 3 : 2
Therefore the total number of gallon, in this case, fifty (50) is equivalent to the total of two ratios (which is 3 + 2 5)
If 5 in the ratio = 50; what about 2 & 3
5 = 50
2 = x
After cross multiplication;
5x = 50 * 2
X = 100/5
X = 20
The same for ratio 3
5 = 50
3 = y
5y = 50 * 3
y = 150/5
y = 30
The answer is therefore; 30 gallons of red paint to 20 gallons of blue paint
Learn More:
For more on ratios check out;
brainly.com/question/11662922
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The steps i took into doing these problems did very well for me