Answer:
1. (2x+3)²
- (2x)² + 2 (2x) (3) + (3)²
- 4x² + 12x + 9
2. (2x - 11) (3x + 21)
- 2x (3x + 21) - 11 (3x + 21)
- 6x² + 42x - 11 (3x + 21)
- 6x² + 42x - 33x - 231
- 6x² + 9x - 231
3. (2x + 2) (2x - 1)
- 2x (2x - 1) + 2 (2x -1)
- 4x² - 2x + 2 (2x - 1)
- 4x² - 2x + 4x - 2
- 4x² + 2x - 2
4. (x - 3) (x² - 3x + 9)
- x (x² - 3x + 9) - 3 (x² - 3x + 9)
- x³ - 3x² + 9x - 3 (x² - 3x + 9)
- x³ - 3x² + 9x - 3x² + 9x - 27
- x³ - 6x² + 9x + 9x - 27
- x³ - 6x² + 18x - 27
5. (x - 5)³
- x³ - 15x² + 75x - 125
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Answers & Comments
Answer:
1. (2x+3)²
- (2x)² + 2 (2x) (3) + (3)²
- 4x² + 12x + 9
2. (2x - 11) (3x + 21)
- 2x (3x + 21) - 11 (3x + 21)
- 6x² + 42x - 11 (3x + 21)
- 6x² + 42x - 33x - 231
- 6x² + 9x - 231
3. (2x + 2) (2x - 1)
- 2x (2x - 1) + 2 (2x -1)
- 4x² - 2x + 2 (2x - 1)
- 4x² - 2x + 4x - 2
- 4x² + 2x - 2
4. (x - 3) (x² - 3x + 9)
- x (x² - 3x + 9) - 3 (x² - 3x + 9)
- x³ - 3x² + 9x - 3 (x² - 3x + 9)
- x³ - 3x² + 9x - 3x² + 9x - 27
- x³ - 6x² + 9x + 9x - 27
- x³ - 6x² + 18x - 27
5. (x - 5)³
- x³ - 15x² + 75x - 125