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OpenStudy (anonymous):
differnce of cubes: (a-b)(a^2+ab+b^2)
OpenStudy (anonymous):
in your case a=x and b=y
OpenStudy (anonymous):
are the two addition symbols supposed to be addition or is there one that should be a minus or what
OpenStudy (anonymous):
ya
OpenStudy (anonymous):
no, two addition symbols
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OpenStudy (anonymous):
let me give you the equation... its 4x^3-32^3
OpenStudy (anonymous):
so it would be\[(4x-32y)(16x^2+128xy+1024y)?
OpenStudy (anonymous):
y being squared
OpenStudy (anonymous):
okay, here we can factor out a 4 which makes this: 4(x^3-8^3), then we simply apply the difference of square to the inside of the parenthese, where a=x and b=2. This results in: 4(x-2)(x^2+2x+4)
OpenStudy (anonymous):
where does the two come from... sorry im tired and my brain doesnt work that well when im tired
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OpenStudy (anonymous):
oh wait it it 4x^3-32 or 4x^3-32^3
OpenStudy (anonymous):
the second one
OpenStudy (anonymous):
but theres a y in between the 32and^3 see i messed it up
OpenStudy (anonymous):
come on man
OpenStudy (anonymous):
okay so, then its 4x^3-32y^3
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OpenStudy (anonymous):
okay, so we factor out a 4 and get: 4(x^3-8y^3). Now the inside is a difference of cubes. With a=x and b=2y. Now why is b=2y, where (2y)^3=8y^3. Now can you plug that into (a-b)(a^2+ab+b^2)