Q15 of 69 Page 261

Prove by direct method that for any real numbers x, y if x = y, then x2 = y2.

We have Given for any real number x, y if x=y

To Find: x2=y2


Explanation: Let us Assume


p: x=y where x and y are real number


On squaring both sides we get


x2=y2 : q (Assumption)


Therefore,


P=q


Hence, Proved


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