Exercise 5.2
1. Find the square of the following numbers by using the identities :
(a) 22
(b) 48
(c) 112
(d) 94
(e) 999
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Answer:
1)22
=( 20 + 2) ^2
= 20 ^2 + 2 x 20 x 2 + 2^2
= 400 + 80 + 4
= 484.
2) 48
= (40 + 8 )^2
= 40^2 + 2 x 40 x 8 + 8^2
= 1600 + 640 + 64
= 2304.
3) 94
= ( 90 + 4 )^2
= 90^2 + 2 x 90 x 4 + 4^2
= 8100 + 720 + 16
= 8836.
4) 999
= ( 900 + 99)
= 900^2 + 2 x 99 x 900 + 99^2
= 810000 + 178,200 + 9801
= 998,001.
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