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Question

Find the value of 24×26 using a suitable algebraic identity.

A
424
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B
6242
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C
624
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D
4624
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Solution

The correct option is C 624
24×26=(20+4)×(20+6)

It is in the form of (x + a) (x + b)
where x = 20, a =4 and b = 6.

We know,
(x+a)(x+b)=x2+(a+b)x+ab

24×26=(20+4)×(20+6)=(20)2+(4+6)×20+(4×6)=400+10×20+24=400+200+24=624

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