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Use the formula a^2 - b^2 = (a -b)(a + b). So:
t^2 - (t - 1)^2
= [t - (t -1)][t + (t -1)] Now you can work and simplify the given expression.
=(t - t +1)(t + t -1)
=(1)(2t -1)
= 2t -1
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