Prove by direct method that for any

Question:

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

Solution:

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

Now we have to find x= y2

Let us assume

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

On squaring both sides we get

x= y2 : q (Assumption)

Therefore,

p = q

Hence, Proved

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