Mathematics 9709 · AS & A Level · Algebra

Algebra — practice question

(a)[4]

Expand $(2 - 3x)^{-2}$ in increasing powers of $x$, stopping at and including the term in $x^2$, and simplify the coefficients.

(b)[1]

Give the set of $x$ values for which the expansion is valid.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Give a correct unsimplified form of the $x$ term or the $x^2$ term from the expansion of $(2-3x)^{-2}$ or $(1-\tfrac{3}{2}x)^{-2}$

  • Full mark scheme, point by point
  • Step-by-step worked solution
  • Write your answer & get it marked instantly by AI