Multiplying Algebraic Expressions (Leaving Cert Mathematics): Flashcards

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Multiplying Algebraic Expressions
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When multiplying algebraic terms, do we need like terms?

No, multiply constants with constants, variables with variables

What rules apply when multiplying variables?

Indices rules

Indices rule: same base, different powers

Add the powers together

xp×xq=?x^p \times x^q = ?

xp+qx^{p+q}

(3x)(5x)=?(3x)(5x) = ?

15x215x^2

(−3ab)(ab)=?(-3ab)(ab) = ?

−3a2b2-3a^2b^2

Law for a(b+c)a(b+c) or a(b−c)a(b-c)

Law of distribution

a(b+c)=?a(b+c) = ?

ab+acab + ac

a(b−c)=?a(b-c) = ?

ab−acab - ac

What does distribution law let us do?

Expand brackets

How to multiply two brackets?

Each term in first bracket multiplies each term in second bracket

(2x+4)(x+2)=?(2x+4)(x+2) = ?

2x2+8x+82x^2 + 8x + 8

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