Math, asked by laksh33, 1 year ago

101×102×103 nikhilam questions

sivaprasath: (x+a)(x+b)(x+c) = x^3 +(a+b+c)x^2 + (ab+bc+ac)x + abc ,use this formula

krishtina1: i think its 1051106

sivaprasath: (100+1)(100+2)(100+3) = 100^3 + (1+2+3)(100)^2 + ((1)(2)+(1)(3)+(2)(3))(100) + (1)(2)(3) = 10,00,000 + 6(10,000) + (2+3+6)100 + 6 = 10,00,000 + 60,000 +1100 + 6 = 1061106, HOPE IT HELPS!!

laksh33: thanks

krishtina1: thanks

Answers

Answered by shruti1112

ans is 1,061,106 ............

laksh33: solve full plz

Answered by sivaprasath

Solution:

_____________________________________________________________

Given:

The value of,

101 x 102 x 103

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We can write the data in the following manner,

101 x 102 x 103

101 => 100 + 1,.

102 => 100 + 2,.

103 => 100 + 3,.

_____________

So,

101 x 102 x 103

=> (100 + 1)(100 + 2)(100 + 3)

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We know that,

(x + a)(x + b)(x + c) = x³ + (a + b + c)x² + (ab + bc + ac)x + abc

=> (100 + 1)(100 + 2)(100 + 3) = (100)³ + (1+ 2 + 3) (100²) + ((1)(2)+(2)(3)+
(1)(3))(100) + (1)(2)(3)

=> (100 + 1)(100 + 2)(100 + 3) = 10,00,000 + (6)(10,000) + (2 + 6 + 3)(100) + 6

=> (100 + 1)(100 + 2)(100 + 3) = 10,00,000 + 60,000 + 11(100) + 6

=> (100 + 1)(100 + 2)(100 + 3) = 10,00,000 + 60,000 + 1,100 + 6

=> 101 x 102 x 103 = 10,61,106

_____________________________________________________________

Hope it Helps !!

=> Mark as Brainliest,.

laksh33: thanks bro

sivaprasath: Mark as Brainliest,. bro,.

sivaprasath: np./

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