Question

The expression x2 + 5x – 4 can be used to represent the area of Jan's garden, while 2x - 3 represents the area of Bob's garden. How much larger is Jan's garden?

Answer 1

Let:

Aj = Jan's garden

Ab = Bob's garden

where:

`\begin{gathered} Aj=x^2+5x-4 \\ Ab=2x-3 \end{gathered}`

The difference between the areas is:

`\begin{gathered} A=Aj-Ab=(x^2+5x-4)-(2x-3)=x^2+5x-4-2x+3 \\ A=x^2+3x-1 \end{gathered}`

It is:

`x^2+3x-1`

Larger