6
Question
Find the values of the following using the formula of the square of a binomial.
(5) 1082
(5) 1082
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Solution
1082
or 108 = 110 − 2
1082 = (110 − 2)2
Thus, we can use the identity (a − b)2 = a2 − 2ab + b2 .
∴ 1082 = (110 − 2)2
= (110)2 − 2 (110) (2) + (2)2
= 12100 − 440 + 4
= 12100 + 4 − 440
= 12104 − 440
= 11664
or 108 = 110 − 2
1082 = (110 − 2)2
Thus, we can use the identity (a − b)2 = a2 − 2ab + b2 .
∴ 1082 = (110 − 2)2
= (110)2 − 2 (110) (2) + (2)2
= 12100 − 440 + 4
= 12100 + 4 − 440
= 12104 − 440
= 11664
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