If `a^(2) - b^(2) = 36` and `a + b = 4` then `(a - b)^(2) = "______"` .A. 36B. 9C. 81D. 144

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

1.	If `a^(2) - b^(2) = 36` and `a + b = 4` then `(a - b)^(2) = "______"` .A. 36B. 9C. 81D. 144
Answer» Correct Answer - 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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