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The following steps are involved in find...

The following steps are involved in finding the value of `10 (1)/(3) xx 9(2)/(3)` by using an appropriate indentity . Arrange them in sequential order .
(A) `(10)^(2) - ((1)/(3))^(2) = 100 - (1)/(9)`
(B) `10(1)/(3) xx 9(2)/(3) = (10 + (1)/(3)) (10 - (1)/(3))`
(C) `(10 + (1)/(3)) (10 - (1)/(3)) = (10)^(2) - ((1)/(3))^(2) [because (a + b) (a -b) = (a^(2) - b^(2))]`
(D) `100 - (1)/(9) = 99 + 1 - (1)/(9) = 99(8)/(9)`

A

BCDA

B

BACD

C

ACBD

D

BCAD

Text Solution

Verified by Experts

The correct Answer is:
D
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