exam Maths Puzzle Numerical Ability

If the sides of a square are decreased by 2 cm, the area is decreased by 36cm^2. What were the dimensions of the original square?

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exam Other Question

How many real roots and or imaginary roots does the following equation have:

x^2 - 625 = 0

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We are familiar with the identity (a+b)(a-b)=a^2-b^2. If A and B are n*n matrices, do we always have (A+B)(A-B)=A^2-B^2? If so, prove it. If not, give a counterexample, and give a