Chapter 14 Factorisation

**NCERT Solutions for Class 8 Maths Chapter 14 Factorisation Ex 14.1**

**Question 1.**

**Find the common factors of the given terms:**

**Solution.**

**Question 2.**

**Factorise the following expressions:**

**Solution.**

**Question 3.**

**Factorise:**

**Solution.**

**NCERT Solutions for Class 8 Maths Chapter 14 Factorisation Ex 14.2**

**Question 1.**

**Factorise the following expressions:**

**Solution.**

**Question 2.**

**Factorise:**

**Solution.**

**Question 3.**

**Factorise the expressions:**

**Solution.**

**Question 4.**

**Factorise:**

**Solution.**

**Question 5.**

**Factorise the following expressions:**

**Solution.**

**NCERT Solutions for Class 8 Maths Chapter 14 Factorisation Ex 14.3**

**Question 1.**

**Carry out the following divisions:**

**Solution.**

**Question 2.**

**Divide the given polynomial by the given monomial:**

**Solution.**

**Question 3.**

**Work out the following divisions:**

**Solution.**

**Question 4.**

**Divide as directed.**

**Solution.**

**Question 5.**

**Factorise the expressions and divide them as directed.**

**Solution.**

**NCERT Solutions for Class 8 Maths Chapter 14 Factorisation Ex 14.4**

**Find and correct the errors in the following mathematical statements.**

**Question 1.**

4(x – 5) = 4x – 5

**Solution.**

4(x – 5) = 4x – 20

**Question 2.**

x(3x + 2) = 3×2+2

**Solution.**

x(3x + 2) = 3×2+2x

**Question 3.**

2x + 3y = 5xy

**Solution.**

2x + 3y = 2x + 3y

**Question 4.**

x + 2x + 3x = 5x

**Solution.**

x + 2x + 3x = 6x

**Question 5.**

5y + 2y + y – 7y = 0

**Solution.**

5y + 2y + y – 7y – y

**Question 6.**

3x + 2x = 5×2

**Solution.**.

3x + 2x = 5x

**Question 7.**

(2x)2+4(2x)+7=2×2+8x+7

**Solution.**

(2x)2+4(2x)+7=4×2+8x+7

**Question 8.**

(2x)2+5x=4x+5x=9x

**Solution.**

(2x)2+5x=4×2+5x

**Question 9.**

(3x+2)2=3×2+6x+4.

**Solution.**

(3x+2)2=9×2+12x+4.

**Question 10.**

**Solution.**

**Question 11.**

(y−3)2=y2–9

**Solution.**

(y−3)2=y2–2(y)(3)+32

= y2–6y+9

and not equal to y2–9

**Question 12.**

(z+5)2=z2+25

**Solution.**

(z+5)2=z2+2(z)(5)+52

= z2+10z+25

and not equal to z2+25

**Question 13.**

(2a+36)(a−b)=2a2−3b2

**Solution.**

**Question 14.**

(a+4)(a+2)=a2+8

**Solution.**

**Question 15.**

(a−4)(a−2)=a2−8

**Solution.**

**Question 16.**

3x23x2=0

**Solution.**

3x23x2=1 and not equal to 0

**Question 17.**

3×2+13×2=1+1=2

**Solution.**

3×2+13×2=3x23x2+13×2

=1+13×2 and not equal to 1 + 1 = 2

**Question 18.**

3x3x+2=12

**Solution.**

3x3x+2=3x3x+2 and not equal to 12

**Question 19.**

34x+3=14x

**Solution.**

34x+3=34x+3 and not equal to 14x

**Question 20.**

4x+54x=5

**Solution.**

4x+54x=4x4x+54x=1+54x and not equal to 5

**Question 21.**

7x+55=7x

**Solution.**

7x+55=7×5+55=7×5+1 and not equal to 7x