Chapter – 14 ( Factorisation) class 8th

Chapter – 14 ( Factorisation)

Class – VIII ( Maths)

               Very Short Answer Type Questions                                         ( 1 Mark)

Q1. Find the common factor of 17abc, 34ab², 51a²b

Q2.  Complete the identity : a² – b² = ________________

Q3. Square of 3x – 4y = ___________________

Q4. Factorise : x⁴y² – x²y⁴ – x⁴y⁴

Short Answer Type Questions( 2 Mark)

Q5. Factorise the following:

i)                    6x²y + 10 xy²

ii)                  8a⁶ – 12 a⁵ +6 a⁴

iii)                ax + bx – ay – by

Q6. Resolve into factors :

i)                    x²( a – 3b) – 7 ( a – 3b)

ii)                  ( m + 3n)² + 4m + 12 n

Q7.Factorise :i) x² + 10 x + 24

   ii) Y² – 5y +4

      iii) x² – 10 x +21

Very Long Answer Type Questions ( 4 Mark)

Q8. Factorise each of the following algebraic expressions using identity ( a + b)² and ( a – b)²:

i)                    16 – a⁶ + 4 a³b³ – 4b⁶

ii)                  a² + 4 b² – 4 ab – 4 c²

Q9. Factorise each of the following expression using a² – b² = ( a+b) ( a – b )

i)                    x⁸ – 1

ii)                  x⁴ – 625

Q10.Factorise :  a³ x + a² ( x – y ) – a ( y + z ) - z

        Hots

Q11. Factorise each of the following expressions :

i)                    x² + 2 xy + y² – a² + 2ab – b²

ii)                  ( p + q )² – ( a – b)² +p + q – a +b

Q12. Resolve quadratic trinomials into factors:

i)                    P² + 18p +81              ii) 36y² – 12y+1         iii)( a – b)² + 4ab