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If a^(2) - b^(2) = 36 and a + b = 4 the...

If `a^(2) - b^(2) = 36` and `a + b = 4` then `(a - b)^(2) = "______"` .

A

36

B

9

C

81

D

144

Text Solution

Verified by Experts

The correct Answer is:
C
a + b = 4
`a^(2) - b^(2) = (a + b) (a - b) = 36`
Eq. (2) `div` Eq. (1) , we get
`((a -b)(a+b))/((a+b)) = (36)/(4) = 9`
`a - b = 9`
`implies (a - b)^(2) = 9^(2) = 81`
Hence , the correct option is (c) .
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