ALGEBRAIC EXPRESSIONS

CONTENT

1. Expansion and Simplification of Algebraic Expressions
2. Substitution
3. Highest Common Factors (HCF) of Algebraic Expressions
4. Lowest Common Multiples (LCM) of Algebraic Expressions
5. Factorization of Simple Algebraic Expressions
6. Missing Factors in Algebraic Expressions
7. Factorisation of Algebraic Expressions

Expansion and Simplification of Algebraic Expressions

Let us evaluate the expression below:

\(4 × (5 + 3)\) or \(4(5 + 3)\)

We have,

\(4 × (5 + 3) = 4 × 8 = 32\)

Similarly,

\(4 × (5 + 3) = 4 × 5 + 4 × 3\)

\(= 20 + 12 = 32\)

Using letters (alphabets) in place of numbers,

\(a(b + c)\)  or  \(a × (b + c)\)

\( = ab + ac\)

\((b + c)a  = ba + ca\)

You observed that the term outside the bracket is used to multiply all the terms inside the bracket.

Examples:

Expand the following algebraic expression.