is the square of the binomial 2x+10 four times greater than the square of the binomial x–5?

Answer 1

(2x+10)^2= 4x^2 +40x + 100 >? 4(x-5)^2 = 4(x^2 -10x +25) = 4x^2 -40x +100

80x >? 0

x>? 0

x>0 if x is positive

(2x+10)^2 > 4(x-5)^2 if x>0

(2x+10)^2 < 4(x-5)^2 if x<0

(2x+10)^2 = 4(x-5)^2 if x =0