Algebra

# What patterns are involved in multiplying algebraic expressions?

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Multiplying expressions usually involves methods like FOIL.

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

Just as finite automata are used to recognize patterns of strings, regular expressions are used to generate patterns of strings. A unix operator is a regular expression is an algebraic formula whose value is a pattern consisting of a set of strings, called the language of the expression.

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

m(a + b) = ma + mb distributive property (a + b)(c + d) = a(c + d) + b(c + d) The use distributive prop. twice. (c + d)(x + y + z) = c(x + y + z) + d(x + y + z) Still use dist. prop. etc. These work for subtraction as well.

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.

One can find stained glass patterns through many online businesses. Paned Expressions and Delphi Glass are just a couple of businesses that offer a wide variety of stained glass patterns.

Regular expressions can be used to find patterns within data. Beyond that the subject of Regular expressions gets extremely complicated very fast, I suggest you purchase a book on the subject and read it... twice.. http://www.amazon.com/Mastering-Regular-Expressions-Jeffrey-Friedl/dp/0596528124/ref=sr_1_1?ie=UTF8&amp;qid=1345423498&amp;sr=8-1&amp;keywords=regular+expressions

The shifting of plates causes patterns in earthquake activity. Different plates shift in different degrees depending on the friction and temperatures involved.

The sun does play a significant factor in weather patterns and the formation of winds.

A dihybrid cross predicts the inheritance patterns of TWO traits.

Subcortical responses are subtle changes, like breathing patterns and facial expressions that indicate changes that initiate the relaxation response.

organization of elements in the art is generally, a fashion of liberal patterns of expressions or manner of display of the meaningful interactions of ideas that radiate from all the elemental constituents of the art.

white light doesn't produce interference patterns because white light is the entire spectrum of light. only light of a singular frequency produces interference patterns. white light does actually produce interference patterns but because there are so many frequencies involved the patterns blend with each other and are not detectable by eye.

No, it is not true that all genes show simple patterns of dominant and recessive alleles. When Mendel did his studies on peas, he was lucky in that the genes he worked with showed those patterns. Many genes are much more complex and often involve more than one gene. Many genes show intermediate expressions between dominant and recessive.

Inductive reasoning in geometry is mainly used with repetitive concepts or patterns. An example would be multiplying -7 by 2 using repeated addition, which is "-7+-7," to equal -14.

A sign language (also signed language) is a language which, instead of acoustically conveyed sound patterns, uses visually transmitted sign patterns (manual communication, body language) to convey meaning-simultaneously combining hand shapes, orientation and movement of the hands, arms or body, and facial expressions to fluidly express a speaker's thoughts.

The interpretation of EMG results is not a simple matter, requiring analysis of the onset, duration, amplitude, and other characteristics of the spike patterns.

what design patterns you are asking about? software design patterns? there are 23 of them as I know.

You can use all types of patterns, such as swirls or triangular patterns

Trends and patterns in the data are social. Data goes in a social patterns.

It is more of an engineering field. The science involved is physics and electro-chemistry. It requires knowledge of aerodynamics, materials, electricity, and local weather patterns.

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