Last updated on Oct 23, 2026

Divinding Algebraic Expressions (Leaving Cert Mathematics): Quizzes

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Divinding Algebraic Expressions

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What is the indices rule for dividing powers: $\frac{x^p}{x^q}=$ ?

$x^{p-q}$

Simplify: $\frac{4x^2}{2x}$

$2x$

Simplify: $\frac{8b^5a^2}{3b^2}$

$\frac{8b^3a^2}{3}$

In $\frac{ab}{ac}$ , which factor can be cancelled?

$a$

Can $a$ be cancelled in $\frac{ab+d}{ac}$ ?

No

What happens when coefficients don't divide evenly in algebraic fractions?

Leave them as a fraction

In $\frac{8b^5a^2}{3b^2}$ , what happens to $a^2$ ?

Stays unaffected in numerator

Simplify: $\frac{x^5}{x^3}$

$x^2$

What must you do to $\frac{x^3-25x}{x-5}$ before simplifying?

Factor the numerator

After fully simplifying $\frac{x^3-25x}{x-5}$ , what is the result?

$x(x+5)$

A common factor must be a factor of what parts of the fraction?

Everything on top AND bottom

Explore Leaving Cert Mathematics Revision Notes by Topics

The Basics

Algebraic Fractions

Factorisation

Explore Leaving Cert Mathematics Model Answers by Topics

The Basics

Algebraic Fractions

Factorisation

Explore Leaving Cert Mathematics Flashcards by Topics

The Basics

Algebraic Fractions

Factorisation

Explore Leaving Cert Mathematics Exam Questions by Topics

The Basics

Algebraic Fractions

Factorisation

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