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What is the following product? (4x sqrt5^2 + 2x^2 sqrt6)^2

What is the following product? (4x sqrt5^2 + 2x^2 sqrt6)^2
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What is the following product? (4x sqrt5^2 + 2x^2 sqrt6)^2

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User Anapsix
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1 Answer

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We expand the perfect square trinomial using the formula:
(a+b)^2=a^2+2ab+b^2

(4x^(2) √(5)+2x^(2) √(6))^2 \\ =(4x^(2) √(5))^2 + 2(4x^(2) √(5))(2x^(2) √(6))+(2x^(2) √(6))^2 \\ =80x^4+16x^4 √(30)+24x^4 \\ =(104+16√(30))x^4
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User AlameerAshraf
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8.3k points
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