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Algebraic Identity: (x + a)(x + b) = x^2 + (a + b)x + ab

Find the foll...

Question

Find the following product by using suitable identity
$102 \times 104$

A

10578

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B

11508

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C

10608

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D

10218

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Solution

The correct option is B $10608$
$102 \times 104$
$= (100 + 2) \times (100 + 4)$
Using, $x^{2} + (a + b) x + a b$
$= 100^{2} + (2 + 4) 100 + 2 (4)$
$= 10000 + 600 + 8$
$= 10608$

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