When we multiply algebraic expressions, we need to remember the Index Laws from the Numbers chapter.
Let's see how algebra multiplication works with a series of examples.
Example 1
Multiply x3(x4 + 5a)
Answer
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Example 2
Multiply (x + 5)(a − 6)
Answer
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Example 3
Multiply (2x + 3)(x2 − x − 5)
Answer
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Example 4
Multiply (x − 3)2
Answer
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Here is a LiveMath document to illustrate this. You can make changes like changing x to some other letter, change the minus to plus, etc. Observe what happens at each change.
LIVEMath
Important Note:
(x − 3)2
is NOT equal to
x2 − 9
Example 5
Simplify 5x[- 4 + 10(x - y)] + 7x
Answer
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Example 6
An expression found in chemical thermodynamics is p(c − 1) + 2 − c(p − 1). Multiply and simplify.
السبت يوليو 04, 2009 1:18 am
