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Q1 Expand and simplify: a) (x + 6)(x - 5) [2 marks] b) (2y - 1)(y + 9) [2 marks] Q2 Expand and simplify: a)...

Q1 Expand and simplify: a) (x + 6)(x - 5) [2 marks] b) (2y - 1)(y + 9) [2 marks]
Q2 Expand and simplify: a) (x - 3)^2 [2 marks] b) (4y + 5)^2 [2 marks]

Answer

  1. Q1:
    1. a)

      (x + 6)(x - 5) = x(x - 5) + 6(x - 5) = x^2 - 5x + 6x - 30 = x^2 + x - 30

    2. b)

      (2y - 1)(y + 9) = 2y(y + 9) - 1(y + 9) = 2y^2 + 18y - y - 9 = 2y^2 + 17y - 9

  2. Q2:
    1. a)

      (x - 3)^2 = (x - 3)(x - 3) = x(x - 3) - 3(x - 3) = x^2 - 3x - 3x + 9 = x^2 - 6x + 9

    2. b)

      (4y + 5)^2 = (4y + 5)(4y + 5) = 4y(4y + 5) + 5(4y + 5) = 16y^2 + 20y + 20y + 25 = 16y^2 + 40y + 25

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