Algebra

high importance~3 Q in Tier 143 formulas⚡ 21 shortcuts6 subtopics

Exam-level questions worked step by step. Try each one yourself first — then expand the solution and compare routes.

Q1.

If $x-\frac1x=4$ , then what is the value of $x^3-\frac{1}{x^3}$ ?

Q2.

If $2x+3y=12$ and $xy=6$ , then the value of $8x^3+27y^3$ is:

Q3.

The value of $\sqrt{11+2\sqrt{30}}$ is:

Q4.

If $(x-2)$ is a factor of $x^3-kx^2+5x-6$ , then the value of $k$ is: