## Extending the Ideas 81

MATHEMATICS · Subjective · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

## Extending the Ideas 81. Graph the left side of the equation

3\left(x^{3}-x\right)=a(x-b)^{3}+c .

Then explain why there are no real numbers

a, b

, and

c

that make the equation true. (Hint: Use your knowledge of

y=x^{3}

and transformations.)