Factorize: `15pq+15+9q+25p`

Factorize: 4p^2-9q^2

Factorize: 15xy-6x+5y-2

Factorize the following expressions: p^2-10p+25

Factorize the following expressions: 25m^2+30m+9

Factorize two following expressions. 6p-12q

Factorize the expressions and divide them as directed: 5pq(p^2-q^2):-2p(p+q)

Factorize the expressions and divide them as directed: (5p^2-25p+20):-(p-1)

Factorize the expressions: 7p^2+21q^2

Simplify (2.5 p-1.5 q)^2-(1.5 p-2.5 q)^2

The corner points of the feasible region determined by the system linear constraints are (0,10), (5,5), (15,15), (0,20). Let Z = px+ qy, where p, q gt 0 , condition on p and q so that the maximum of Z occurs at both the points (15,15) and (0,20) is