16 Using identity a²-b² = Ca+b) (a-b). Find
(ii)(956)²-(44)²
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Answer:
Using the identity (x+a)(x+b) = x
2
+(a+b)x+ab
Writing 102 as 100+2 and 98 as 100−2
Hence (100+2)(100−2) = 100
2
+[2+(−2)]100+(2)(−2)
= 10000+(0)100−4
= 9996
The answer is 9996
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