Answer: C
Step-by-step explanation:
To expand binomials there is a “newton metode”
(X+Y)^5 will have 6 terms (5+1)
In the first one x is goning to be raised to the fifth power, in the esconde to the forth, and its going to decrese one by one until the last one, X^0=1
On the other hand, Y it’s going to be Y^0in the first term, and Y^5 in the 6th
The coefficients are going to be taken from the Tartaglia triangle
1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
1 5 10 10 5 1
1 6 15 20 15 6 1
It has ones on both sides and then every number is the sum of the two on it.
Our binomial takes the coefficients of the fifth row
Then
We
(X+Y)^5 = X^5 + 5 X^4 Y + 10 X^3 Y^2 + 10 X^2 Y^3 + 5 X Y^4 + Y^5
