If a-b=8,ab=40.25then (a+b)(a-b)=?
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a - b = 8
ab = 40.25
(a - b)^2 = 8^2
a^2 + b^2 - 2ab = 64
a^2 + b^2 = 64 + 2ab
a^2 + b^2 = 64 + 2(40.25)
a^2 + b^2 = 64 + 80.5
a^2 + b^2 = 144.5
(a + b)^2 = a^2 + b^2 + 2ab
(a + b)^2 = 144.5 + 80.5
(a + b)^2 = 225
a + b = 15
(a + b) (a - b)
15 × 8
120
Therefore, answer is 120
Hope this helps you :)
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