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 PMNow 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