Factorisation (Grade 10 NSC Matric Mathematics): Quizzes

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Factorisation
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Factorisation is the reverse process of which algebraic operation?

Expanding

What is the difference of two squares formula?

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

Which expression is a difference of two squares?

49−p449 - p^4

Using the switch around strategy, (2−a)(2 - a) can be rewritten as:

−(a−2)-(a - 2)

When should you use grouping in pairs?

Four terms, no common factor for all

In ax2+bx+cax^2 + bx + c, if cc is positive, the factors must have:

The same sign

What is the sum of two cubes formula?

x3+y3=(x+y)(x2−xy+y2)x^3 + y^3 = (x + y)(x^2 - xy + y^2)

Factorise a3−1a^3 - 1 using the difference of cubes formula:

(a−1)(a2+a+1)(a - 1)(a^2 + a + 1)

What is the first step in any factorisation?

Look for common factors

Factorise 2x−6x22x - 6x^2 by taking out the common factor:

2x(1−3x)2x(1 - 3x)

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