Question

Directions: Solve using the FOIL method. Hint: Watch out for any negative signs and follow rules for signed numbers!

1. (x-2)(x+3)

2. (x+4)(x-12)

3. (x+3)(x+4)

4. (x+6)(x+7)

5. (x+8)(x+9)

6. (x-5)(x+5)

7. (x+3)(x-3)

8. (x+10)(x+10)

9. (x-2)(x+12)

10. (x + 4)(x - 3)

11. (x+5)(x+2)

12. (x-3)(x-4)

13. (x+7)(x-7)

14. (x-6)(x+3)

15. (x+10)(x-5)

Answer 1

Question 1.

• (x - 2)(x + 3)
• => x² + 3x - 2x - 6
• => x² + x - 6

Question 2.

• (x + 4)(x - 12)
• => x² - 12x + 4x - 48
• => x² - 8x - 48

Question 3.

• (x + 3)(x + 4)
• => x² + 4x + 3x + 12
• => x² + 7x + 12

Question 4.

• (x + 6)(x + 7)
• => x² + 7x + 6x + 42
• => x² + 13x + 42

Question 5.

• (x + 8)(x + 9)
• => x² + 9x + 8x + 72
• => x² + 17x + 72

Question 6.

• (x - 5)(x + 5)
• x² + 5x - 5x - 25
• => x² - 25

Question 7.

• (x + 3)(x - 3)
• => x² - 3x + 3x - 9
• => x² - 9

Question 8.

• (x + 10)(x + 10)
• => x² + 10x + 10x + 100
• => x² + 20x + 100

Question 9.

• (x - 2)(x + 12)
• => x² + 12x - 2x - 24
• => x² + 10x - 24

Question 10.

• (x + 4)(x - 3)
• => x² - 3x + 4x - 12
• => x² + x - 12

Question 11.

• (x + 5)(x + 2)
• => x² + 2x + 5x + 10
• => x² + 7x + 10

Question 12.

• (x - 3)(x - 4)
• => x² - 4x - 3x + 12
• => x² - 7x + 12

Question 13.

• (x + 7)(x - 7)
• => x² - 7x + 7x - 49
• => x² - 49

Question 14.

• (x - 6)(x + 3)
• => x² + 3x - 6x - 18
• => x² - 3x - 18

Question 15.

• (x + 10)(x - 5)
• => x² - 5x + 10x - 50
• => x² + 5x - 50