Our question is:
2X2-3X-2/10+X-3X2
Rearranging:
2X2-3X-2/-3X2+X+10
Factorizing:
2X2-4X-X-2/-3X2+6X-5X+10
Solving further:
2X(X-2)-1(X-2)/-3X(X-2)-5(X-2)
So:
(2X-1)(X-2) / (-3X-5)(X-2)
X-2 in both the numerator and denominator cancel out. Leaving us with:
2X-1/-3X-5
OR
multiplying by a negative sign. We get:
-2X+1 / 3X+5
Which is option number 'e'.
2X2-3X-2/10+X-3X2
Rearranging:
2X2-3X-2/-3X2+X+10
Factorizing:
2X2-4X-X-2/-3X2+6X-5X+10
Solving further:
2X(X-2)-1(X-2)/-3X(X-2)-5(X-2)
So:
(2X-1)(X-2) / (-3X-5)(X-2)
X-2 in both the numerator and denominator cancel out. Leaving us with:
2X-1/-3X-5
OR
multiplying by a negative sign. We get:
-2X+1 / 3X+5
Which is option number 'e'.