(2x - 5)(2x + 5)
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x2 - 10x + 25 = 0(x - 5)(x - 5) = 0x - 5 = 0x = 5
(2x - 5)(2x - 5)
x2 - 5x = 0x (x - 5) = 0x = 0andx = 5
(x3 + 4x2 - 3x - 12)/(x2 - 3) = x + 4(multiply x2 - 3 by x, and subtract the product from the dividend)1. x(x2 - 3) = x3 - 3x = x3 + 0x2 - 3x2. (x3 + 4x2 - 3x - 12) - (x3 + 0x2 - 3x) = x3 + 4x2 - 3x - 12 - x3 + 3x = 4x2 - 12(multiply x2 - 3 by 4, and subtract the product from 4x2 - 12)1. 4x(x - 3) = 4x2 - 12 = 4x2 - 122. (4x2 - 12) - (4x2 - 12) = 4x2 - 12 - 4x2 + 12 = 0(remainder)
4x2 + x2 = 8 + x2