How do you factorise the expression $$x^2 - 9$$ ?

It can be factorised as $$(x - 3)(x + 3)$$ , which is a difference of squares.

What is the simplified form of $$\frac{x^2 - 9}{x - 3}$$ ?

$$x + 3$$ , after cancelling the common factor.

What is the simplified form of $$\frac{x^2 + 5x + 6}{x + 2}$$ ?

$$x + 3$$ , after cancelling the common factor.

What is the simplified form of $$\frac{x^2 + 6x + 8}{x + 4}$$ ?

$$x + 2$$ , after cancelling the common factor.

What is the simplified form of $$\frac{7(x - 11) + 2x(x - 11)}{(x - 11)^2}$$ ?

$$\frac{7 + 2x}{x - 11}$$ , after cancelling the common factor.

What is the simplified form of $$\frac{x(x - 3) + 5(x - 3)}{x + 5}$$ ?

$$x - 3$$ , after cancelling the common factor.

What is the factorisation of $$x^2 - 4$$ ?

$$(x - 2)(x + 2)$$ , which is a difference of squares.

What is the simplified form of $$\frac{x^2 - 4}{x - 2}$$ ?

$$x + 2$$ , after cancelling the common factor.

Factorise to Simplify Algebraic Fractions Flashcards

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1.

FLASHCARD QUESTION

Front

What is the process of factorising an algebraic expression?

Back

Factorising is the process of breaking down an expression into simpler components (factors) that, when multiplied together, give the original expression.

2.

FLASHCARD QUESTION

Front

What is the purpose of simplifying algebraic fractions?

Back

The purpose is to make the expression easier to work with, allowing for simpler calculations and clearer understanding of the relationships between variables.

3.

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4.

FLASHCARD QUESTION

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5.

FLASHCARD QUESTION

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6.

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7.

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