EduSahara™ Assignment
Name : Polynomial Power Expansion
Chapter : Polynomials and Factorisation
Grade : SSC Grade IX
License : Non Commercial Use
Question 1
1.
    • The expanded form of
    • (
      2
      n
      		)
      3
       
    • is
  • (i)
    2
    n
    ✕
    2
    n
    ✕
    2
    n
    ✕
    2
    n
  • (ii)
    2
    n
    ✕
    2
    n
    ✕
    2
    n
  • (iii)
    2
    n
    ✕
    2
    n
    ✕
    2
    n
    ✕
    2
    n
    ✕
    2
    n
  • (iv)
    2
    n
    ✕
    2
    n
  • (v)
    2
    n
Question 2
2.
    • The expanded form of
    • (
      1
      2
      v
      		)
      3
       
    • is
  • (i)
    1
    2
    v
    ✕
    1
    2
    v
    ✕
    1
    2
    v
    ✕
    1
    2
    v
    ✕
    1
    2
    v
  • (ii)
    1
    2
    v
    ✕
    1
    2
    v
    ✕
    1
    2
    v
    ✕
    1
    2
    v
  • (iii)
    1
    2
    v
    ✕
    1
    2
    v
    ✕
    1
    2
    v
  • (iv)
    1
    2
    v
    ✕
    1
    2
    v
  • (v)
    1
    2
    v
Question 3
3.
    • The expanded form of
    • (
      5
      h
      i
      		)
      3
       
    • is
  • (i)
    5
    h
    i
  • (ii)
    5
    h
    i
    ✕
    5
    h
    i
    ✕
    5
    h
    i
    ✕
    5
    h
    i
  • (iii)
    5
    h
    i
    ✕
    5
    h
    i
    ✕
    5
    h
    i
  • (iv)
    5
    h
    i
    ✕
    5
    h
    i
    ✕
    5
    h
    i
    ✕
    5
    h
    i
    ✕
    5
    h
    i
  • (v)
    5
    h
    i
    ✕
    5
    h
    i
Question 4
4.
    • The expanded form of
    • (
      1
      2
      w
      x
      		)
      3
       
    • is
  • (i)
    1
    2
    w
    x
    ✕
    1
    2
    w
    x
    ✕
    1
    2
    w
    x
    ✕
    1
    2
    w
    x
    ✕
    1
    2
    w
    x
  • (ii)
    1
    2
    w
    x
    ✕
    1
    2
    w
    x
  • (iii)
    1
    2
    w
    x
    ✕
    1
    2
    w
    x
    ✕
    1
    2
    w
    x
    ✕
    1
    2
    w
    x
  • (iv)
    1
    2
    w
    x
  • (v)
    1
    2
    w
    x
    ✕
    1
    2
    w
    x
    ✕
    1
    2
    w
    x
Question 5
5.
    • The expanded form of
    • (
      5
      v
      w
      +
      1
      		)
      3
       
    • is
  • (i)
    (
    5
    v
    w
    +
    1
    		)
    ✕
    (
    5
    v
    w
    +
    1
    		)
  • (ii)
    (
    5
    v
    w
    +
    1
    		)
    ✕
    (
    5
    v
    w
    +
    1
    		)
    ✕
    (
    5
    v
    w
    +
    1
    		)
  • (iii)
    (
    5
    v
    w
    +
    1
    		)
    ✕
    (
    5
    v
    w
    +
    1
    		)
    ✕
    (
    5
    v
    w
    +
    1
    		)
    ✕
    (
    5
    v
    w
    +
    1
    		)
    ✕
    (
    5
    v
    w
    +
    1
    		)
  • (iv)
    (
    5
    v
    w
    +
    1
    		)
  • (v)
    (
    5
    v
    w
    +
    1
    		)
    ✕
    (
    5
    v
    w
    +
    1
    		)
    ✕
    (
    5
    v
    w
    +
    1
    		)
    ✕
    (
    5
    v
    w
    +
    1
    		)
Question 6
6.
    • The expanded form of
    • (
      1
      2
      p
      q
      +
      2
      3
      		)
      3
       
    • is
  • (i)
    (
    1
    2
    p
    q
    +
    2
    3
    		)
    ✕
    (
    1
    2
    p
    q
    +
    2
    3
    		)
  • (ii)
    (
    1
    2
    p
    q
    +
    2
    3
    		)
    ✕
    (
    1
    2
    p
    q
    +
    2
    3
    		)
    ✕
    (
    1
    2
    p
    q
    +
    2
    3
    		)
    ✕
    (
    1
    2
    p
    q
    +
    2
    3
    		)
  • (iii)
    (
    1
    2
    p
    q
    +
    2
    3
    		)
  • (iv)
    (
    1
    2
    p
    q
    +
    2
    3
    		)
    ✕
    (
    1
    2
    p
    q
    +
    2
    3
    		)
    ✕
    (
    1
    2
    p
    q
    +
    2
    3
    		)
    ✕
    (
    1
    2
    p
    q
    +
    2
    3
    		)
    ✕
    (
    1
    2
    p
    q
    +
    2
    3
    		)
  • (v)
    (
    1
    2
    p
    q
    +
    2
    3
    		)
    ✕
    (
    1
    2
    p
    q
    +
    2
    3
    		)
    ✕
    (
    1
    2
    p
    q
    +
    2
    3
    		)
Question 7
7.
    • The expanded form of
    • (
      2
      w
      		)
      3
       
    • is
  • (i)
    2
    w
    ✕
    2
    w
    ✕
    2
    w
    ✕
    2
    w
    ✕
    2
    w
  • (ii)
    2
    w
    ✕
    2
    w
    ✕
    2
    w
  • (iii)
    2
    w
    ✕
    2
    w
  • (iv)
    2
    w
    ✕
    2
    w
    ✕
    2
    w
    ✕
    2
    w
  • (v)
    2
    w
Question 8
8.
    • The expanded form of
    • (
      1
      2
      d
      		)
      3
       
    • is
  • (i)
    1
    2
    d
    ✕
    1
    2
    d
    ✕
    1
    2
    d
    ✕
    1
    2
    d
  • (ii)
    1
    2
    d
    ✕
    1
    2
    d
    ✕
    1
    2
    d
  • (iii)
    1
    2
    d
  • (iv)
    1
    2
    d
    ✕
    1
    2
    d
    ✕
    1
    2
    d
    ✕
    1
    2
    d
    ✕
    1
    2
    d
  • (v)
    1
    2
    d
    ✕
    1
    2
    d
Question 9
9.
    • The expanded form of
    • (
      −
      l
      m
      		)
      3
       
    • is
  • (i)
    (
    −
    l
    m
    		)
  • (ii)
    (
    −
    l
    m
    		)
    ✕
    (
    −
    l
    m
    		)
    ✕
    (
    −
    l
    m
    		)
    ✕
    (
    −
    l
    m
    		)
  • (iii)
    (
    −
    l
    m
    		)
    ✕
    (
    −
    l
    m
    		)
    ✕
    (
    −
    l
    m
    		)
  • (iv)
    (
    −
    l
    m
    		)
    ✕
    (
    −
    l
    m
    		)
  • (v)
    (
    −
    l
    m
    		)
    ✕
    (
    −
    l
    m
    		)
    ✕
    (
    −
    l
    m
    		)
    ✕
    (
    −
    l
    m
    		)
    ✕
    (
    −
    l
    m
    		)
Question 10
10.
    • The expanded form of
    • (
      1
      3
      q
      r
      		)
      3
       
    • is
  • (i)
    1
    3
    q
    r
  • (ii)
    1
    3
    q
    r
    ✕
    1
    3
    q
    r
    ✕
    1
    3
    q
    r
    ✕
    1
    3
    q
    r
    ✕
    1
    3
    q
    r
  • (iii)
    1
    3
    q
    r
    ✕
    1
    3
    q
    r
    ✕
    1
    3
    q
    r
    ✕
    1
    3
    q
    r
  • (iv)
    1
    3
    q
    r
    ✕
    1
    3
    q
    r
    ✕
    1
    3
    q
    r
  • (v)
    1
    3
    q
    r
    ✕
    1
    3
    q
    r
Question 11
11.
    • The expanded form of
    • (
      3
      f
      +
      2
      g
      		)
      3
       
    • is
  • (i)
    (
    3
    f
    +
    2
    g
    		)
    ✕
    (
    3
    f
    +
    2
    g
    		)
  • (ii)
    (
    3
    f
    +
    2
    g
    		)
    ✕
    (
    3
    f
    +
    2
    g
    		)
    ✕
    (
    3
    f
    +
    2
    g
    		)
    ✕
    (
    3
    f
    +
    2
    g
    		)
    ✕
    (
    3
    f
    +
    2
    g
    		)
  • (iii)
    (
    3
    f
    +
    2
    g
    		)
  • (iv)
    (
    3
    f
    +
    2
    g
    		)
    ✕
    (
    3
    f
    +
    2
    g
    		)
    ✕
    (
    3
    f
    +
    2
    g
    		)
    ✕
    (
    3
    f
    +
    2
    g
    		)
  • (v)
    (
    3
    f
    +
    2
    g
    		)
    ✕
    (
    3
    f
    +
    2
    g
    		)
    ✕
    (
    3
    f
    +
    2
    g
    		)
Question 12
12.
    • The expanded form of
    • (
      1
      2
      a
      b
      +
      3
      4
      b
      		)
      3
       
    • is
  • (i)
    (
    1
    2
    a
    b
    +
    3
    4
    b
    		)
    ✕
    (
    1
    2
    a
    b
    +
    3
    4
    b
    		)
    ✕
    (
    1
    2
    a
    b
    +
    3
    4
    b
    		)
  • (ii)
    (
    1
    2
    a
    b
    +
    3
    4
    b
    		)
  • (iii)
    (
    1
    2
    a
    b
    +
    3
    4
    b
    		)
    ✕
    (
    1
    2
    a
    b
    +
    3
    4
    b
    		)
    ✕
    (
    1
    2
    a
    b
    +
    3
    4
    b
    		)
    ✕
    (
    1
    2
    a
    b
    +
    3
    4
    b
    		)
  • (iv)
    (
    1
    2
    a
    b
    +
    3
    4
    b
    		)
    ✕
    (
    1
    2
    a
    b
    +
    3
    4
    b
    		)
  • (v)
    (
    1
    2
    a
    b
    +
    3
    4
    b
    		)
    ✕
    (
    1
    2
    a
    b
    +
    3
    4
    b
    		)
    ✕
    (
    1
    2
    a
    b
    +
    3
    4
    b
    		)
    ✕
    (
    1
    2
    a
    b
    +
    3
    4
    b
    		)
    ✕
    (
    1
    2
    a
    b
    +
    3
    4
    b
    		)
    Assignment Key
  •  1) (ii)
  •  2) (iii)
  •  3) (iii)
  •  4) (v)
  •  5) (ii)
  •  6) (v)
  •  7) (ii)
  •  8) (ii)
  •  9) (iii)
  •  10) (iv)
  •  11) (v)
  •  12) (i)