If the sum of three numbers is 18 and the sum of their squares is 36, then find the difference between the sum of their cubes and three times their pr...

A cubic polynomial $$ ax^3 + bx^2 + cx + d $$ intersects the x-axis at $$ x = 1 $$ and $$ x = -1 $$...

Let $$ r $$ and $$ C $$ be real numbers. If $$ r $$ and $$ -r $$ are roots of $$ 5x^3 + Cx^2 - 10...

Simplify $$ \frac{(8.3)^3 + (9.2)^3 + (6.1)^3 - 3 \times 8.3 \times 9.2 \times 6.1}{(8.3)^2 + (9....

Simplify the expression: ((4.2)^3 - (1.2)^3) / ((4.2)^2 + 5.04 + (1.2)^2)....

The value of the expression (1.55² + 0.55² + 1.55 × 0.55) is equal to:...

If $m + n = 24$, then find the value of $$ (m - 16)^3 + (n - 8)^3. $$...