Factorising (Grade 12 NSC Matric Mathematics): Quizzes

Rewriting an expression as a product

Expanding brackets

Factor out the highest common factor

$a^2 - b^2 = (a - b)(a + b)$

$a^3 - b^3 = (a - b)(a^2 + ab + b^2)$

$a^3 + b^3 = (a + b)(a^2 - ab + b^2)$

Four terms

$ac$ (product of first and last)

Expand the answer to verify it matches

$(4x - y)(4x + y)$