(2x-3)(x^2+5x-3)=2x+10x^2-15x+9

*Is this correct.?

this is a different problem...

Here's how this one works out:

......x^2 + 5x - 3
............2x - 3
==================
...... -3x^2 - 15x + 9
2x^3 + 10x^2 - 6x
======================
2x^3 + 7x^2 - 21x + 9

I hope this will help.