Solve =} 103 x 96 using identity.
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Answered by
25
(100 + 3)(100 - 4)
(x + a)(x - b) = x^2 + x(a-b) - ab
100^2 + 100(3-4) + (3)(4)
10000-100+12
10000-112
=9888
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(x + a)(x - b) = x^2 + x(a-b) - ab
100^2 + 100(3-4) + (3)(4)
10000-100+12
10000-112
=9888
idontknowindian:
but the answee is 9888
the identity should be used like this 100²+100(3+(-4) )+3 x (-4)
so the right answer would be 9888
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in the 4th line it should be -12
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Answered by
5
Answer:
. 103 × 96
= ( 100 +3 ) × ( 100 - 4)
= 100^2 + (3+-4)×100 + 3×-4
= 10000 (+) -100 (+)- 12
= 9888.
. Hence 103 × 96 = 9888
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