Answer: He always wanted a big Mack.
Explanation:
____________________________________________________________
8 S: (x+2)² = (x+2) × (x+2) (using distributive property)
= x² + 2x + 2x + 4 (parenthesis expansion)
= x² + 4x + 4 (adding the like terms)
Conclusion: TRUE statement
____________________________________________________________
13 - E: (a - 5)² = (a - 5) × (a - 5) (using distributive property)
= a² - 5a - 5a + 25 (parenthesis expansion)
= x² - 10a + 25 (adding the like terms)
Conclusion: TRUE statement
____________________________________________________________
10 - A: (u - 8)² = (u + 8) × (u + 8) (using distributive property)
= u² + 8u + 8u + 64 (parenthesis expansion)
= u² + 16u + 64 (adding the like terms)
Conclusion: TRUE statement
____________________________________________________________
2 - H : Conclusion: FALSE statement
____________________________________________________________
18 - G: (3x + 1)² = (3x + 1) × (3x + 1) (using distributive property)
= 9x² + 3x + 3x + 1 (parenthesis expansion)
= 9x² + 6x + 1 (adding the like terms)
Conclusion: TRUE statement
____________________________________________________________
14 - D: (5t - 2)² = (5t - 2) × (5t - 2) (using distributive property)
= 25t² - 10t - 10t + 4 (parenthesis expansion)
= 25t² - 20t + 4 (adding the like terms)
Conclusion: TRUE statement
____________________________________________________________
4 - P: Conclusion: FALSE statement
____________________________________________________________
20 - A: (2n + 7)² = (2n + 7) × (2n + 7) (using distributive property)
= 4n² + 14n + 14n + 49 (parenthesis expansion)
= 4t² + 28t + 49 (adding the like terms)
Conclusion: TRUE statement
____________________________________________________________
2 - E: (10d - 4)² = (10d - 4) × (10d - 4) (using distributive property)
= 100d² - 40n - 40n + 16 (parenthesis expansion)
= 100d² - 80t + 16 (adding the like terms)
Conclusion: TRUE statement
____________________________________________________________
5 - k: Conclusion: FALSE statement
____________________________________________________________
7 - R: Conclusion: FALSE statement
____________________________________________________________
2 - E: (x² - 3)² = (x² - 3) × (x² - 3) (using distributive property)
= 4x⁴ - 3x² - 3x² + 9 (parenthesis expansion)
= 4x⁴ - 6x² + 9 (adding the like terms)
Conclusion: TRUE statement
____________________________________________________________
11 - T: Conclusion: FALSE statement
____________________________________________________________
5 - W: (2a + b)² = (2a + b) × (2a + b) (using distributive property)
= 4a² + 2ab + 2ab + b² (parenthesis expansion)
= 4a² + 4ab + b² (adding the like terms)
Conclusion: TRUE statement
____________________________________________________________
15 - A: (3u - 2v)² = (3u - 2v) × (3u - 2v) (using distributive property)
= 9u² - 6uv - 6uv + 4v² (parenthesis expansion)
= 9u² - 12uv + 4v² (adding the like terms)
Conclusion: TRUE statement
____________________________________________________________
6 - E: Conclusion: FALSE statement
____________________________________________________________
1 - H: (c² - 6d²)² = (c² - 6d²) × (c² - 6d²) (using distributive property)
= c⁴ - 6c²d² - 6c²d² + 36d⁴ (parenthesis expansion)
= c⁴ - 12c²d² + 36d⁴ (adding the like terms)
Conclusion: TRUE statement
____________________________________________________________
21 - I: Conclusion: FALSE statement
____________________________________________________________
Part 2:
The perfect trinomials are:
6 - A
11 - N
7 - Y
21 - C
3 - A
12 - T
16 - B
9 - W
22 - K
17 - I
19 - M