Posted by ladybug on .
I am having trouble with these two. Can you please help me??
Find the following product:
4x^2y (4x^3y^5)
Essy, Show all work. Find the following quotient:
16x^225y^2
___________
4x + 5y

Intermediate Algebra 
Steve,
(4)(4)(x^2)(x^3)(y)(y^5)
16 x^5 y^6
recall that a^2b^2 = (ab)(a+b)
16x^2  25y^2 = (4x)^2  (5y)^2 = (4x+5y)(4x5y)
divide that by (4x+5y) and it cancels out, leaving the final answer:
4x5y