Oh, dude, the greatest common factor of 75x^3y^2 and 100xy is 25xy. Like, you just gotta find the largest number that divides both terms evenly, and in this case, it's 25xy. Easy peasy lemon squeezy.
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25x
25
Y³-4y²-12y = y(y - 6)(y + 2) 3x³+30x²+75x = 3x(x + 5)2 5yto5-80y³ = 5y3(y + 4)(y - 4) 24to5-18y³ = 6y3(4y2 - 3) 25x to the 6th - 64 = (5x3 + 8)(5x3 - 8) 27xt³+343 = (3x + 7)(9x2 - 21x + 49) X³-64 = (x - 4)(x2 + 4x + 16)
12 is .75x is one way to write this using symbols. Now we go one more step and write 12=.75x In this case it may be easier to see .75 is 3/4 and write 12=(3/4)x. Then we find x by multiplying 12 by 4/3 which is 16. Does this make sense? If 12 is 3/4 of 16, then we should have 16x3/4=12 but 16/4=4 and 3x4=12 as desired.