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6 August, 01:01

given xy = 4 and x^2 + y^2=a, which exspression is equal to (x+y) ^2? A: a+6 B: a+4 C: a+8 D: a

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  1. 6 August, 03:19
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    Corretct answer is C: a+8

    Step-by-step explanation:

    Given xy=4 and x∧2+y∧2=a

    The square of the binomial is

    (x+y) ∧2 = x∧2 + 2xy + y∧2

    when we rearrange this equation we get:

    (x+y) ∧2 = (x∧2 + y∧2) + 2 (xy) = a + 2 · 4 = a + 8

    God with you!
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