nikhil007 wrote:
How did 1-X in the denominator become X-1 in last step?
Rewrite the equation so thatx appears as the first term in theequation:
(1-x)^2 = (-x+1)^2
let's now rewrite the equation so thatx ispositive:
(1-x)^2 = (-x+1)^2 = [ (-1) \cdot (x-1)]^2
the laws of exponents establish that(a \cdot b)^n = a^n \cdot b^n which means that:
(1-x)^2 = (-x+1)^2 = [ (-1) \cdot (x-1)]^2 = (-1)^2 \cdot (x-1)^2
notice that(-1)^2 = -1 \cdot -1 = 1 therefore:
(1-x)^2
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