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facotoring polynomials! please help!

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[quote][i]Originally posted by Subhotosh Khan[/i]
[br][quote][i]Originally posted by crazymath44[/i]
[br]I'm confused with taking these problems to the next step..can someone help please?  
1) 63c[squared]-7   
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First factorize all the terms

63c[squared]-7

= 9 * 7 * c * c - 7

Now look for common factor in the terms. We see that 7 is common in the first and the second term. Factor it out:

= 7 * (9 * c[squared]- 1)

Now we see that we can re-write the terms within the parenthesis as difference of two squares.

= 7 * [(3 * c)[squared] - 1[squared]]

Futrther factorize the terms using difference of squares formula which states a[squared] - b[squared] = (a+b)*(a-b)

continue...
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[b][blue] Please share your work with us indicating exactly where you are stuck - so that we may know where to begin to help you.[/blue][/b]

2) x[cubed]-4x   
3) 4a[squared]-36  
4)[pi]c[squared]-[pi]d[squared]   please show me the answers with steps..i just need a little assistance to get me started. Thanks so much! [:)]
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T O P I C R E V I E W
crazymath44	Posted - 02/09/2011 : 19:01:57 I'm confused with taking these problems to the next step..can someone help please? 1) 63c-7 2) x-4x 3) 4a-36 4)c-d please show me the answers with steps..i just need a little assistance to get me started. Thanks so much!
1 L A T E S T R E P L I E S (Newest First)
Subhotosh Khan	Posted - 02/11/2011 : 12:02:02 quote: Originally posted by crazymath44 I'm confused with taking these problems to the next step..can someone help please? 1) 63c-7 First factorize all the terms 63c-7 = 9 * 7 * c * c - 7 Now look for common factor in the terms. We see that 7 is common in the first and the second term. Factor it out: = 7 * (9 * c- 1) Now we see that we can re-write the terms within the parenthesis as difference of two squares. = 7 * [(3 * c) - 1] Futrther factorize the terms using difference of squares formula which states a - b = (a+b)(a-b) continue... Please share your work with us indicating exactly where you are stuck - so that we may know where to begin to help you.* 2) x-4x 3) 4a-36 4)c-d please show me the answers with steps..i just need a little assistance to get me started. Thanks so much!