To break down an algebraic fraction into partial fractions in which all the denominators are linear and all the numerators are constants you sometimes need complex numbers.
Use graphs to gain insights into an area and perimeter problem, or use your knowledge of area and perimeter to gain insights into the graphs...
Observe symmetries and engage the power of substitution to solve complicated equations.
Steve has created two mappings. Can you figure out what they do? What questions do they prompt you to ask?