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Find the value of $113 × 87$ .

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9831

1850

1587

3946

answer is A.

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Detailed Solution

Given expression is

113 × 87

.
Using the identity

a + b a − b = a 2 − b 2

.
Expand the expression and consider a=100 and b=13.

113 × 87 = 100 + 13 100 − 13 ⇒ 113 × 87 = 1002 − 132 ⇒ 113 × 87 = 10000 − 169 ⇒ 113 × 87 = 9831

Therefore, the value of

113 × 87

is 9831.
Hence, option 1 is correct.

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