a-b=4 a^2-b^2=36 a+b=?
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Given that,
a² - b² = 36
And a + b = 4
We know that
a² - b² = (a + b)(a - b)
So by applying this identity in first case we get,
a² - b² = 36
=> (a - b)(a + b) = 36
Now we are given that a + b = 4
=> (a - b)4 = 36
=> (a - b) = 36/4
=> (a - b) = 9
Now we have to find (a - b)²
So substituting the value of a - b we get
(a - b)²
=> (9)²
= 81
So your answer is 81
Hope it helps dear friend ☺️
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