Using suitable identity evaluate 1001 × 998
shadowsabers03:
Bro., is that 1001 or 1002?
1001
Okay, is that 998 or 999?
998
okay.
Answers
Answered by
8
1001 x 998 = 998998
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Where's the suitable identity?
Not direct multiplication the question asked.
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Answered by
10
there is a problem with question....it should be 1001×999.....ie...
(a+b)(a-b)=(1000+1)(1000-1)
a^2-b^2=(1000^2)-(1^2)
=1000000-1
=99999
or....
(x+a)(x+b)=x^2+(a+b)x+ab
(997+4)(997+2)=994009+(4+2)997+4×2
=994009+5982+8
=998998
(a+b)(a-b)=(1000+1)(1000-1)
a^2-b^2=(1000^2)-(1^2)
=1000000-1
=99999
or....
(x+a)(x+b)=x^2+(a+b)x+ab
(997+4)(997+2)=994009+(4+2)997+4×2
=994009+5982+8
=998998
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