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Q: What are the harmonies and desired patterns of expressions?
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What patterns are involved in multiplying expressions?

use parentheses and distribute


What two basic approaches are used to factor expressions?

Look for recognizable patterns based on types of expressions. or guess and check.


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The Harmonies was created in 2010.


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The plural of harmony is harmonies.


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Multiply vertically the extreme left digits is one pattern involved in multiplying algebraic expressions. Multiplying crosswise is another common pattern that is used.


What is the difference of grap fgrap and egrad commands of unix?

The difference between the grep family of utilities is based on what and how they search for patterns, from simple to complex. This also determines the speed at which they can analyze the patterns. fgrep works on a single string in a file grep uses regular expressions (one) to find patterns in a file or files egrep is an extended version (most complex) that finds multiple patterns in a file or files by using multiple regular expressions.