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Edited by DarkSpyda04: 1/5/2014 7:39:16 PM
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Factoring help - I think my brain stopped running

3u^4 - 24uv³ The above expression needs to be factored. The expression can be factored by following the [b]difference of cubes[/b] formula. a³ - b³ = (a-b)(a²+ab+b²) But no matter how hard I try to understand what's going on, the example still seems like numbers are being pulled out of a hat. 3u^4 - 24uv³ = 3u(u³ - 8v³) 3u(u³ - 8v³) = 3u(u³ - (2v)³) 3u(u³ - (2v)³) = 3u(u-2v)(u²+2uv+4v²) What am I looking at? I guess I understand the "3u^4 - 24uv³ = 3u(u³ - 8v³)" bit but beyond that I go brain-dead.

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  • Edited by DarkSpyda04: 1/5/2014 8:20:47 PM
    Now just roll with me here but if a = u and b = 2v then we could follow the formula like so: (a-b)(a²+ab+b²) (u-2v)(u²+2uv+2v²) But instead we get this: 3u(u-2v)(u²+2uv+4v²) Why? How does b² which should be 2v² amount to 4v²? This is where I start to go stupid. But I guess if b now means something else entirely, 2+2 = fish

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