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E2.2 Algebraic manipulation

Syllabus
0580–2028–2029
Topic
E2.2
Level
Extended

E2.2.1 Simplify expressions by collecting like terms.

  • Simplify expressions by collecting like terms.

E2.2.2 Expand products of algebraic expressions.

  • Expand products of algebraic expressions.

E2.2.3 Factorise by extracting common factors.

  • Factorise by extracting common factors.

E2.2.4 Factorise expressions of the form: • ax + bx + kay + kby • a2x2 − b2y2

  • Factorise expressions of the form: • ax + bx + kay + kby • a2x2 − b2y2 • a2 + 2ab + b2 • ax2 + bx + c • ax3 + bx2 + cx.

E2.2.5 Complete the square for expressions in the form ax2 + bx + c

  • Complete the square for expressions in the form ax2 + bx + c. Simplify means give the answer in its simplest form, e.g. 2a2 + 3ab – 1 + 5a2 – 9ab + 4 = 7a2 – 6ab + 3. e.g. expand 3x(2x – 4y), (3x + y)(x – 4y). Includes products of more than two brackets, e.g. expand (x – 2)(x + 3)(2x + 1). Factorise means factorise fully, e.g. 9x2 + 15xy = 3x(3x + 5y).

Objective notes

5 learning objectives
ConceptIGCSE Mathematics Extended