Question

Marks: 8
[10.01] Rectangle A has an area of 4 − x2. Rectangle B has an area of x2 + 2x − 8. In simplest form, what is the ratio of the area of Rectangle A to the area of Rectangle B? Show your work.

Answer 1

to can be written as

-(x^2 - 4):(x^2 +2x - 8)

factorising

-(x -2)(x + 2): (x + 4)(x - 2)

eliminate the common factor (x -2)

-(x + 2):x + 4