Question

Compare the value of the following expression with zero. 5a^3b^2/a+b, where a<0, b<0

Answer 1

The given expression will be greater than zero.

Explanation:

If a < 0 and b < 0, then 5a^3 is < 0 (5a^3) is negative;

but b^2 is > 0.

Then (5a^3)*(b^2) < 0

and if we divide this quantity by a + b (which is negative), the end result will be > 0.