Question

Describe the relationship between Pascal’s triangle and the coefficients in front the terms above.

Answer 1

Step-by-step explanation

An image of pascals triangle which represents the coefficients during expansion.

From the given question, we can see that;

`\begin{gathered} ^0C_0=(0!)/(0!0!)=1 \\ ^1C_0=(1!)/(1!0!)=1^\text{ and }^1C_1=(1!)/(0!1!)=1 \\ ^2C_0=(2!)/(2!0!)=1\text{ a}nd\text{ }^{\text{ }2}C_1\text{ =}(2!)/(1!1!)=2\text{ }and\text{ }^2C_2=(2!)/(0!2!)=1 \end{gathered}`

When we continue in the above manner, we will realize that the given combination in the question matches the coefficients from the pascal triangle