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Simplify the following expressions: a) 4a - 2a - 5a + a b) 6p - 3q + p - 7q c) 2√7 + 8 - 2 + 5√7 2....

1. Simplify the following expressions:
a) 4a - 2a - 5a + a
b) 6p - 3q + p - 7q
c) 2√7 + 8 - 2 + 5√7
2. Simplify the following expressions:
a) -3m x 2n x 4
b) -3(2r - 11)
c) 5x(x - 7y)
3. Show that 3(x + 4) - 6(3 - 2x) = 15x - 6.
4. Expand and simplify:
a) (x + 3)(x - 6)
b) (5a + 2)(a - 4)
c) (x + 8)^2
d) (2y - 3)^2
5. Factorise the following expressions:
a) 3x - 9
b) 4y + 20y^2
c) x^2 - 16
d) 16x^2 - 25y^2

Answer

  1. Simplify the following expressions:
    1. a) 4a - 2a - 5a + a = -2a
    2. b) 6p - 3q + p - 7q = 7p - 10q
    3. c) 2√7 + 8 - 2 + 5√7 = 7√7 + 6
  2. Simplify the following expressions:
    1. a) -3m x 2n x 4 = -24mn
    2. b) -3(2r - 11) = -6r + 33
    3. c) 5x(x - 7y) = 5x^2 - 35xy
  3. Show that 3(x + 4) - 6(3 - 2x) = 15x - 6.
    3(x + 4) - 6(3 - 2x) = 3x + 12 - 18 + 12x = 15x - 6
  4. Expand and simplify:
    1. a) (x + 3)(x - 6) = x^2 - 6x + 3x - 18 = x^2 - 3x - 18
    2. b) (5a + 2)(a - 4) = 5a^2 - 20a + 2a - 8 = 5a^2 - 18a - 8
    3. c) (x + 8)^2 = x^2 + 16x + 64
    4. d) (2y - 3)^2 = 4y^2 - 12y + 9
  5. Factorise the following expressions:
    1. a) 3x - 9 = 3(x - 3)
    2. b) 4y + 20y^2 = 4y(1 + 5y)
    3. c) x^2 - 16 = (x - 4)(x + 4)
    4. d) 16x^2 - 25y^2 = (4x - 5y)(4x + 5y)

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