1 A 1 B 1 C 1 D 1 E 1 F 1 G 1 H 1 I 1 J 2 A 2 B 2 C 2 D 2 E 3 A 3 B 3 C 3 D 3 E

West Bengal Mathematics

8. Factorisation

1. Real Numbers
2. Laws of Indices
3. Graph
4. Co-ordinate Geometry: Distance Formula
5. Linear Simultaneous Equations
6. Properties of Parallelogram
7. Polynomial
8. Factorisation
9. Transversal and Mid-Point Theorem
10. Profit and Loss
11. Statistics
12. Theorems on Area
13. Construction: (Construction of a Parallelogram whose measurement of one angle is given and equal in area of a triangle)
14. Construction: (Construction of a triangle equal in area of a quadrilateral)
15. Area and Perimeter of Triangle and Quadrilateral Shaped Region
16. Circumference of Circle
17. Theorems on concurrence
18. Area of Circular Region
19. Co-ordinate Geometry: Internal and External Division of Straight Line Segment
20. Co-ordinate Geometry: Area of Triangular Region
21. Logarithm

Let us Work Out 8.1

1 2 3 4 5 6 7 8 9 10

Let us Work Out 8.2

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

Let us Work Out 8.3

1 2 3 4 5 6 7 8 9 10

Let us Work Out 8.4

1 2 3 4 5 6 7 8 9 10

Let us Work Out 8.5

1 A 1 B 1 C 1 D 1 E 1 F 1 G 1 H 1 I 1 J 2 A 2 B 2 C 2 D 2 E 3 A 3 B 3 C 3 D 3 E

Q. 1 I

Let us factorise

Class 9th West Bengal Mathematics 8. Factorisation

Answer :

The given expression can be rewritten as:

As we know that, x² + y² - 2xy = (x – y)²

Let

⇒ 2p² – p – 3

⇒ 2p² – 3p + 2p – 3

⇒ p(2p – 3) + (2p – 3)

⇒ (p + 1) (2p – 3)

On substituting the value of p, we get,

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