The diagram shows a rectangle and a square. The area of the rectangle is greater than the area of the square.

Write an expression, in its simplest form, for the difference between the areas of the
rectangle and square

Explanation:

area of rectangle: length * width

                            :  5x * (x + 3)

                            : 5x² + 15x

area of square: length * length

                        : 3x * 3x

                        : 9x²

Difference: area of rectangle - area of square

                 : 5x² + 15x - 9x²

                 : - 4x² + 15x

i)

when x = 1

- 4x² + 15x

- 4(1)² + 15(1)

11

ii)

when x = 2

- 4x² + 15x

- 4(2)² + 15(2)

14

iii)

when x = 3

- 4x² + 15x

- 4(3)² + 15(3)

9

c)

The difference comes as negative value.

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