Review the work showing the first few steps in writing a partial fraction decomposition.
What is the partial fraction decomposition in terms of
x?
4x + 40
А
16
4x + 40
+
-12
(x + 2)(x+6)
16
+
x+2 x + 6
*+2
+6
(x + 2)(x+6)
4x + 40 = A(x + 6) + B(x + 2)
4x + 40
-4
8
+
*+2 * +6
(x + 2)(x+6)
4x + 40 = Ax + 6A + Bx + 2B
4x + 40
-4
8
%3D+
+2
(x + 2)(x+6)
+6
4x + 40
16
-12
+
(x + 2)(+6)
x+2
x+6