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Cubic identities
Cube sums and differences, binomial cubes, coefficients and cubic equation transformations.
Questions: 6Estimated time: 18 minutes
Time left: 00:00:00
Best results on this test
Top 10 registered students. Only each student’s best result in the period counts.
Sample questions
- Expanding (___x ___ ___)³ gives a polynomial. Find the coefficient of x².
- Given u + v = ___ and uv = ___, calculate u³ + v³.
- Given u − v = ___ and uv = ___, calculate u³ − v³.
- Simplify ___, where x ≠ ___. The result is a quadratic polynomial. Find its coefficient of x.
- Find the sum of all values of 3k² + 3k + 1 as k takes each integer from ___ to ___ inclusive.
Cubic identities
Cube sums and differences, binomial cubes, coefficients and cubic equation transformations.
Dynamic advanced-course tasks with hints explaining the solution method.
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