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in this video well be looking at X to the N minus y to the N the first thing were gonna do is look at the formula for how to factor X to the N minus y to the M the first thing we always do is have a factor of X minus y and the second parentheses were going to have exponents of x and y first were going to start with X the exponent of X starts at n minus 1 and goes down every term so it starts at n minus 1 goes to n minus 2 it goes all the way down to 0 while the exponent of Y starts at 0 it goes up to 1/2 and then n minus 1 so lets look at an example if I have X cubed minus y cubed the first thing Im going to do is have an X minus y factor and then Im going to start with X to the N minus 1 which in this case is x squared Y will be will have a zero exponent so itll be x squared plus now x squared goes down to X and then Y goes up to exponent of 1 so itd be XY plus now X goes to 0 exponent and Y goes to 2 exponent so be Y squared so the whole thing is X minus y times x squared p
