Q 16. Using suitable algebraic identity, solve 10022
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Answer:
Identity :
(a+b)(a+b) = a*a + 2ab + b*b
i) 72*72 = (70+2)(70+2)
= 70*70 + 2*70*2 + 2*2
= 4900 + 280 + 4
= 5184
ii) 68*68 = (60+8)(60+8)
= 60*60 + 2*8*60 + 8*8
= 3600 + 960 + 64
= 4624
iii) 1002*1002 = (1000+2)(1000+2)
= 1000*1000 + 2*1000*2 + 2*2
= 1000000 + 4000 + 4
= 1004004
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