Sale of Building Land in the Village of Šalgočka. Allrisk Slovakia

Allrisk Slovakia offers you, with the consent of the owner, presales of building land plots in the village of Šalgočka at advantageous prices for an interesting investment opportunity. The plots are located in a quiet natural area near Čalád. They will be connected to all engineering networks and can be used for construction single-story family houses.
Select your dream home in this beautiful and peaceful location.
The following plot sizes and prices are available:
Plot number: 2. 650 m² - €66,500, 3. 650 m² - €66,500 , 4. 650 m² - €66,500, 5. 1,010m² - €102,500 , 6. 685m² - €70,000 , 7. 60⯎) => (a + b)(c + d)

Example :
((x^2 + y)^3 ) * (z^2 + w )
=>( x^2 + y)(x^2 + y)(z^2 + w)
=> (x^2*z^2) + (x^2*w) +
(y*z^2) + (y*w)
+
(y*w)"
Check if it is possible by using above approach"}
So we need to check whether there exists any two polynomials such that their product equals another polynomial given as input i'e., does p = qr exist where r belongs to set S? If yes then output 'YES', else 'NO'. So basically what needs checking here is existence of factorsization which means factorizing original expression completely without leaving out anything unfactored hence making sure every term has been accounted once while forming products during multiplication process.