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Question

The value of 24×26 is

A
200+24+400
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B
24×400+200
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C
40000+20+24
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D
40000+200+24
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Solution

The correct option is A 200+24+400
24×26=(20+4)×(20+6)
[Using identity (x+a)(x+b) = =x2+(a+b)x+ab ]

=(20)2+(4+6)×20+(4×6)
=400+10×20+24=400+200+24

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(x + a)(x +b)= x^2 + x(a+ b) + ab
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