Q. 6

# Find the squares

(i) 395

395 = (400 – 5)2

= (400)2 + 52 – 2 (400) (5)

= 160000 + 25 – 4000

= 156025

(ii) 995

995 = (1000 – 5)2

= (1000)2 + 52 – 2 (1000) (5)

= 1000000 + 25 – 10000

= 990025

(iii)495

495 = (500 – 5)2

= (500)2 + 52 – 2 (500) (5)

= 250000 + 25 – 5000

= 245025

(iv) 498

498 = (500 – 2)2

= (500)2 + 22 – 2 (500) (2)

= 250000 + 4 – 2000

= 248004

(v) 99

99 = (100 – 1)2

= (100)2 + 12 – 2 (100) (1)

= 10000 + 1 – 200

= 9799

(vi) 999

999 = (1000 – 1)2

= (1000)2 + 12 – 2 (1000) (1)

= 1000000 + 1 – 2000

= 998001

(vii)599

(600 – 1)2

= (600)2 + 12 – 2 (600) (1)

= 360000 + 1 – 1200

= 358801

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