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

Exercise #1

8a2+28a+1?(8a+1)2 8a^2+2\sqrt{8}a+1?(\sqrt{8}a+1)^2

Video Solution

Answer

= =

Exercise #2

(2b+5)2?4b2+25 (2b+5)^2?4b^2+25

Video Solution

Answer

Depends on the value of b

Exercise #3

Replace '?' with the missing sign given that 0 < x :

x(2x+3)?2(x+3)2 x(2x+3)?2(x+3)^2

Video Solution

Answer

<

Exercise #4

Replace '?' with the missing symbol given that 0 < x < 1 :

1+(5+x)2+3x 2?5x2+10x+25 1+(5+x)^2+3x_{\text{ }}^2?5x^2+10x+25

Video Solution

Answer

>

Exercise #5

Replace ? with the missing sign given that m3+2m2n=4m2+n2 m^3+2m^2n=4m^2+n^2 :

m(m+n)2?(2m+n)2 m(m+n)^2?(2m+n)^2

Video Solution

Answer

It is not possible to calculate.

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}