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Year 9 Expanding Brackets Worksheet — Level 2 (Set 2) — Answers

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Year 9 · Mathematics · Algebraic Expressions

Year 9 Expanding Brackets Worksheet — Level 2 (Set 2) — Answers

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Multiply every term inside the bracket. Then collect like terms.

1.Expand and simplify: (x + 7)(x − 5)

Answer: x2 + 2x − 35

  1. x × x = x2
  2. x × −5 + 7 × x = 2x
  3. 7 × −5 = −35
2.Expand and simplify: (x + 2)(x − 2)

Answer: x2 − 4

  1. x × x = x2
  2. x × −2 + 2 × x = 0
  3. 2 × −2 = −4
3.Expand and simplify: (x + 9)(x + 3)

Answer: x2 + 12x + 27

  1. x × x = x2
  2. x × 3 + 9 × x = 12x
  3. 9 × 3 = 27
4.Expand and simplify: (x − 2)(x + 2)

Answer: x2 − 4

  1. x × x = x2
  2. x × 2 + −2 × x = 0
  3. −2 × 2 = −4
5.Expand and simplify: (x + 9)(x − 9)

Answer: x2 − 81

  1. x × x = x2
  2. x × −9 + 9 × x = 0
  3. 9 × −9 = −81
6.Expand and simplify: (x + 4)(x + 2)

Answer: x2 + 6x + 8

  1. x × x = x2
  2. x × 2 + 4 × x = 6x
  3. 4 × 2 = 8
7.Expand and simplify: (x − 9)(x + 7)

Answer: x2 − 2x − 63

  1. x × x = x2
  2. x × 7 + −9 × x = −2x
  3. −9 × 7 = −63
8.Expand and simplify: (x − 6)(x − 9)

Answer: x2 − 15x + 54

  1. x × x = x2
  2. x × −9 + −6 × x = −15x
  3. −6 × −9 = 54
9.Expand and simplify: (x − 8)(x + 9)

Answer: x2 + x − 72

  1. x × x = x2
  2. x × 9 + −8 × x = x
  3. −8 × 9 = −72
10.Expand and simplify: (x + 7)(x + 8)

Answer: x2 + 15x + 56

  1. x × x = x2
  2. x × 8 + 7 × x = 15x
  3. 7 × 8 = 56
11.Expand and simplify: (x − 2)(x + 4)

Answer: x2 + 2x − 8

  1. x × x = x2
  2. x × 4 + −2 × x = 2x
  3. −2 × 4 = −8
12.Expand and simplify: (x − 2)(x + 6)

Answer: x2 + 4x − 12

  1. x × x = x2
  2. x × 6 + −2 × x = 4x
  3. −2 × 6 = −12
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