MathematicsCode 4029

Algebraic manipulation

What this topic asks you to be able to do

  • Simplify an expression by grouping its like terms together.
  • Expand the product formed when algebraic expressions are multiplied.
  • Factorise an expression by taking out its common factors.
  • Factorise each expression that takes one of these forms: ax2 + bx + c, a2 + 2ab + b2, a2x2 − b2y2, ax + bx + kay + kby, ax3 + bx2 + cx.
  • Complete the square on expressions written as ax2 + bx + c.