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WEEK 1
TOPIC: Algebraic Expressions
CONTENT:
- Expansion and simplification of algebraic expressions (removing brackets)
- Substitution
- LCM and HCF of algebraic terms
- Factorization of algebraic expressions
EXPANSION AND SIMPLIFICATION OF ALGEBRAIC EXPRESSIONS
Let us evaluate the expression below:
4 x (5 + 3) or 4(5+3)
We have,
4 x (5 + 3) = 4 X 8 = 32.
Similarly,
4 x (5 +3) = 4 x 5 + 4 x 3 = 20 + 12 = 32.
Using letters (alphabets) in place of numbers,
a(b + c) or a x (b + c) = ab + ac
(b + c)a = ba + ca.
You observed that the term outside the bracket is use to multiple all the terms inside the bracket.
Examples:
Expand the following algebraic expression
- 4(2a+2b) 3(2n + 3m – 4y)
Solutions:
- 4x2a + 4x2b = 8a + 8b
- 3x2n + 3x3m -3x4y = 6n + 9m – 12y.
Now consider the expression of the form,
(a + b)(c + d).
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