MathematicsCode 4024

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 by finding the common factors of the terms and taking them out.
  • Factorise expressions in any of these forms: ax + bx + kay + kby, or a2x2 − b2y2, or a2 + 2ab + b2, or ax2 + bx + c, or ax3 + bx2 + cx.
  • Complete the square on expressions written as ax2 + bx + c.