Question

In the given figure, the tree diagram is a correct representation of the terms and their factors of the expression y-y3*

Answer 1

When we make a tree diagram of a mathematical expression, the first ramification represents the terms of our expression. Given our expression

`y-y^3`

The terms of this expression are y and -y³. This is correctly represented in our diagram.

The ramification that goes from the terms represent the factors of those terms. It consists of the coefficient of the term, times the variables.

`\begin{gathered} y=1\cdot y \\ -y^3=(-1)\cdot y\cdot y\cdot y \end{gathered}`

The first term is missing the ramification that represent its factors, although, its coefficient is the unit(1), therefore, the term itself is its only factor.

The second term is correctly divided with its terms.

Thus, this is a correct representation diagram of the expression y - y³.