forgot how to factor this

jenrand

New member
Joined
Feb 4, 2006
Messages
1
3 3
a - b


I do not remember how to factor this out. [/code][/quote][/u][/i][/b]
 
Hi Jenrand,

jenrand said:
\(\displaystyle \L a^3-b^3\)

I do not remember how to factor this out.
The formula is: \(\displaystyle \L a^3-b^3=(a-b)(a^2+ab+b^2).\)
 
A useful mnemonic for the sum or difference of two cubes is SOAP, an acronym for:

Same
Opposite
Always Positive

4_4b.gif


4_4c.gif
 
jenrand said:
3 3
a - b

Matt has given you a great response. Please make sure that you have MEMORIZED these patterns:

a<SUP>3</SUP> + b<SUP>3</SUP> = (a + b)(a<SUP>2</SUP> - ab + b<SUP>2</SUP>)

a<SUP>3</SUP> - b<SUP>3</SUP> = (a - b)(a<SUP>2</SUP> + ab + b<SUP>2</SUP>)
 
Top