The ratio is used for comparing two quantities of the sane kind.
The ratio formula for two numbers says a and b is given by a:b or a/b. When two or more such ratios are equal, they are said to be in proportion.
The concept of ratio and proportion is majorly based on ratios and fractions.
Solution:
(v) ${{x}^{2}}+4x+4$and ${{x}^{2}}-x-6$
Given question can be written as,
$=({{x}^{2}}+4x+4)/({{x}^{2}}-x-6)$
$={{(x+2)}^{2}}/\left[ (x-3)(x+2) \right]$
$=(x+2)/(x-3)$
Therefore, ratio of the given terms is $(x+2):(x-3)$