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Question

Find the square of the following numbers.
1) 32
2) 35
3) 71
4) 46

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Solution

Solution:

1) 32 can be written as (30+2)
32²=(30+2)²=(30+2)(30+2)
we know the identity
(a+b)²=a²+b²+2ab
=302+2×30×2+22= 900+120+4=1024
(32)²=1024

2) (35)2 = (30+5)2= 302+2×30 x 5 +5²= 900 + 300 + 25 = 1225
(35)2=1225

3) 71² = (70 + 1)²= 70² + 2 X 70 X 1 + 1²= 4900 + 140 + 1 = 5040+1 = 5041
712=5041

4) 462 =(40+6)²= 40²+ 2 X 40 X 6 += 1600+480+36=2080+36=2116
462=2116



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