Examples with solutions for Square of Difference: Identify the greater value

Exercise #1

Fill in the corresponding sign given that

x > 0

(x4)2?x2+16 (x-4)^2?x^2+16

Video Solution

Answer

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Exercise #2

Fill in the corresponding sign

(4010)2?30 (\sqrt{40}-\sqrt{10})^2?30

Video Solution

Answer

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Exercise #3

Fill in the corresponding sign

323a+a2?(3a)2 3-2\sqrt{3}a+a^2?(\sqrt{3}-a)^2

Video Solution

Answer

= =

Exercise #4

Since 0 < a Fill in the correct sign

(a20)2?a(a+20)+20 (a-\sqrt{20})^2?a(a+20)+20

Video Solution

Answer

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Exercise #5

Since 0 < b

Fill in the corresponding sign

(3b4)(3b4)?9b(b+1b)+7 (3b-4)(3b-4)?9b(b+\frac{1}{b})+7

Video Solution

Answer

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Exercise #6

0 < a,b

Fill in the corresponding sign

a(ab)2?a(a+b)2ab2 a(a-b)^2?a(a+b)^2-ab^2

Video Solution

Answer

< When a>\frac{b}{4}