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krek1111 [17]
4 years ago
8

Please help. Show all work:)

Mathematics
1 answer:
Alex787 [66]4 years ago
8 0

Answer:

  50

Step-by-step explanation:

(3+\sqrt{-16})(6-\sqrt{-64})=(3+4\sqrt{-1})(6-8\sqrt{-1})=2(3+4\sqrt{-1})(3-4\sqrt{-1})\\\\=2(3^2-(4\sqrt{-1})^2)=2(9-(-16))\\\\=2(25)=50

__

We make use of the special form for the difference of squares:

  (a+b)(a-b) = a²-b²

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