the coefficients in the expansion of (x+y)5 are A. 0,5,10,10,5,0 B. 0,1,5,10,5,1,0 C. 1,5,10,5,1 D. 1,5,10,10,5,1
1 answer:
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Answer: Second option.
Step-by-step explanation:
It is important to remember the Distributive Property in order to solve this exercise.
The Distributive property states that:
In this case you have the following expression provided in the exercise:
Then, in order to write this expression in another way, you can apply the Distributive property. Multiply each number inside the parentheses by "t".
Applying this procedure, you get:
Notice that this expression matches with the one shown in the the second option.