Question

using suitable identities evaluate 103x98

Answer 1

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Answer 2

Hi there!

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Given :

$103 \times 98$

It can be written as ;

$(100 + 3)(100 - 2)$

Using identity

$\bold{(x + a)(x - b) = x {}^{2} - bx + ax - ab}$

Solution :

( 100 + 3 ) ( 100 - 2 )

⇒ ( 100 )² - 2 × 100 + 3 × 100 - 3 × 2

⇒ 10000 - 200 + 300 - 6

⇒ 10300 - 206

⇒ 10094.

Hence, the answer is 10094.

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