Question

2) Evaluate the following products without multiplying directly: (i) 1007 × 1003 (ii) 98³
with complete methods ​

Answer 1

1. (1007)(1003)= (1005+2)(1005-2)

= (1000)²-(2)²

= 10,00,000-4

= 9,99,996

2. 98³= (100-2)³

= (100)³-(2)³-3(100)(2)(100-2)

= 10,00,000-8-600(98)

= 10,00,000-8-58800

= 9,41,192

USED IDENTITIES ARE :-

(a+b)(a-b)= a²-b²

(a-b)³= a³-b³-3ab(a-b)

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