Q4 of 50 Page 6

Write down the correct number in the box: [For every natural number n, we have
(n + 1)2 - n2 = (n + 1 - n)(n + 1 + n) = (n + 1) + n.]
(a) 232 - 222 = ________
(b) 1012 -1002 = _________
(c) 5512 - 5502 = __________

(a) 232 - 222 =23 + 22 = 45
(b) 1012 -1002 =101 + 100 = 201
(c) 5512 - 5502 =551 + 550 = 1101

More from this chapter

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2 Which of the following perfect squares are squares of even numbers? 121, 225, 256, 1296, 6561 3 Which of the following numbers are perfect squares? 100, 1000, 330550, 12345600000 5 Write down the correct number in each box:
(a) 652 = 6 x 7(100) + 52 = 4200 + 25 =_________
(b) 752 = 7 x 8(100) + 52 = 5600 + 25 =__________ 6 Which of the following triplets are Pythagorean?
(i) (1, 2, 3) (ii) (3, 4, 5) (iii) (6, 8, 10)
[We know that the three natural numbers m, n, p are said to be Pythagorean triplets if m2 + n2 = p2.]