Answer:
a - h^2 + h - 2
Explanation:
To find the expression with factor h + 2, let's solve all to be sure of the exact expression
Let's start from option a
h^2 + h - 2
Lets look for factors that will be multipled to -2h^2 and that will be added to get +h
Let's start from the multiple of 2 lets try
+2 * -1 = -2
Perfect,
Insert the two new figures into the expression
h^2 - h + 2h - 2
(h^2 - h) + ( 2h - 2)
Look for what is common to each brackets
h (h - 1) + 2(h - 1)
(h + 2) (h -1)
( h + 2) ,this makes this option the correct option
Let's try for the other options too
Option b
2h^2 - 4h
2h( h - 2)
This is not correct
Option C
h^2 + 6h + 5
h^2 + h + 5h + 5 ( the way we did option A)
( h^2 + h) + (5h + 5)
h( h + 1) + 5(h + 1)
(h + 5)(h + 1)
This is not correct
Option D
2h^2 + h
h ( 2h + 1)
This is also wrong
The correct expression for the factor (h+ 2) is h^2 + h -2