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punjab-curriculum-and-textbook-board-pctb
10th-class
mathematics
Mathematics - 2026
Partial Fractions
Exercise 4.2
Topic 4.4
4 mins read
hard Level
2024 Edition
Exercise 4.2
Textbook Content
EXERCISE 4.2
Resolve into partial fractions.
x
2
−
3
x
+
1
(
x
−
1
)
2
(
x
−
2
)
x
2
−
3
x
+
1
(
x
−
1
)
2
(
x
−
2
)
\frac{x^2 - 3x + 1}{(x - 1)^2 (x - 2)}
(
x
−
1
)
2
(
x
−
2
)
x
2
−
3
x
+
1
(
x
−
1
)
2
(
x
−
2
)
x
2
−
3
x
+
1
x
2
+
7
x
+
11
(
x
+
2
)
2
(
x
+
3
)
x
2
+
7
x
+
11
(
x
+
2
)
2
(
x
+
3
)
\frac{x^2 + 7x + 11}{(x + 2)^2 (x + 3)}
(
x
+
2
)
2
(
x
+
3
)
x
2
+
7
x
+
11
(
x
+
2
)
2
(
x
+
3
)
x
2
+
7
x
+
11
9
(
x
−
1
)
(
x
+
2
)
2
9
(
x
−
1
)
(
x
+
2
)
2
\frac{9}{(x - 1)(x + 2)^2}
(
x
−
1
)
(
x
+
2
)
2
9
(
x
−
1
)
(
x
+
2
)
2
9
Topic Tags:
#exercise 4.2
#partial fractions
#repeated linear factors
4.2.2 Repeated Linear Factors
4.2.3 Non-Repeated Irreducible Quadratic Factors