Factorize completely$4abx-2axy-12{{b}^{2}}x+6bxy$

Triangle OPQ above is  the solution of the inequalities

Three consecutive term of a geometric progression are given as n – 2, n, n + 3. Find the common ratio

Find the value of x and y respectively if $3x-5y+5=0$and $4x-7y+8=0$ 

The length a person can jump is inversely proportional to his weight. If a 20kg person can jump 1.5m. Find the constant of proportionality

The graph of the function $y={{x}^{2}}+4$and the straight line PQ are drawn to solve the equation ${{x}^{2}}-3x+2=0$. What is the equation PQ

$\left| \begin{matrix}   -x & 2  \\   4x & 1  \\\end{matrix} \right|=\left| \begin{matrix}   3 & 3x  \\   4 & -5  \\\end{matrix} \right|$, find the value of x

Find the range of value of x satisfying the inequalities $5+x\le 8$ and $13+x\ge 7$

x varies directly as the product of u and v and inversely as their sum. If x =3 when u = 3 and v =1. What is the value of x if u = 3 and v =3

Given U ={Even number between 0 and 32 }

         P = {Multiples of 6 between 0 and 30}

         Q ={Multiples of 4 between 0 and 30}

Find ${{(P\cup Q)}^{c}}$