To find the third term in the expansion of (a+5)^5, we use Pascal's Triangle. Pascal's Triangle gives us the coefficients for each term in the expansion.
The coefficients for the expansion of (a+5)^5 are the numbers in the fifth row of Pascal's Triangle: 1 5 10 10 5 1.
The third term in the expansion corresponds to the third number, which is 10.
Therefore, the third term in the expansion is 10a^3.
The correct answer is a. 10a^3.
Using Pascal's Triangle, what is the third term in the expansion of (a+5)^5 when expanded polynomial is written in standard form? (1 point)
a. 10a^3
b. 250a^3
c. 250a^2
d. 25a^3
1 answer
1 answer