Q. 1 A

# Compute the following in head:

68^{2} – 32^{2}

Answer :

using identity - =

68^{2} – 32^{2} = (68+32)(68-32)

= (100) (36)

= 3600

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PREVIOUSSome natural numbers can be written as a difference of two perfect squares in two ways. For example.24 = 72 – 52 = 52 – 1232 = 92 – 72 = 62 – 2240 = 112 – 92 = 72 – 32In how many different ways can we write multiples of 16, starting with 48 as the difference of two perfect squares?NEXTCompute the following in head:682 – 322

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