Factorising (Grade 12 NSC Matric Mathematics): Flashcards

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Factorising
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Definition of factorising

Rewriting an expression as a product of its factors

Factorising is the reverse of

Expanding brackets

HCF stands for

Highest Common Factor

Grouping in pairs suits expressions with ___ terms

Four

Difference of two squares formula

a2−b2=(a−b)(a+b)a^2 - b^2 = (a - b)(a + b)

Difference of two cubes formula

a3−b3=(a−b)(a2+ab+b2)a^3 - b^3 = (a - b)(a^2 + ab + b^2)

Sum of two cubes formula

a3+b3=(a+b)(a2−ab+b2)a^3 + b^3 = (a + b)(a^2 - ab + b^2)

Trinomial definition

An expression with three terms

For ax2+bx+cax^2+bx+c, two numbers multiply to

acac

First step in any factorising problem

Factor out the highest common factor (HCF)

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