Question

if a² - b² = 36 and a + b = 4 then (a - b)²​

Answer 1

Answer:

81

Step-by-step explanation:

$\huge \sf {a}^{2} - {b}^{2} = 36$

$\sf \implies (a + b)(a - b) = 36$

$\implies \sf 4(a - b) = 36$

$\implies \sf a - b = \frac{36}{4}$

$\implies \sf a - b = 9$

On squaring both sides, we get:

$\implies \sf {(a - b)}^{2} = {9}^{2}$

$\implies \sf {(a - b)}^{2} = 81$

$\huge \boxed{ \therefore {(a - b)}^{2} = 81}$

Answer 2

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