# Try To Solve This Problem Without Expanding

Algebra Level 3

If the expansion of $$(2x^3-3x^2+6x+11)(5x^2 - 9x+1)$$ is $$ax^5+bx^4+cx^3+dx^2+ex+f$$ for integers $$a,b,c,d,e,f$$. What is the value of $$211a+65b+19c+5d+e+f$$?

×