Answer:
activity 1:
1. x^2 - 6x + 9 = 3
2. 4x^2 - 4x + 1 = 2
3. 9x^2 + 12x + 4 = 2
4. 4x^2 + 16xy + 16y^2 = 4
5. 16a^2 - 24ab + 9b^2 = 4a
activity 2:
1. y^2 + 20y +100 = (y + 10)^2
2. k^2 - 8k + 16 = (k - 4)^2
3. 16m^2 + 48m + 36 = 4(2m + 3)^2
4. 49b^2 - 14b + 1 = (7b - 1)^2
5. 3x^2y - 24xy + 48y = 3y(x - 4)^2
activity 3:
1. a^2 + 12a + 11 = 1
2. b^2 + 6b + 8 = 4
3. c^2 - 7c + 6 = 6
activity 4:
1. c^2 - 6c - 40 = (c - 10)(c + 4)
2. e^2 + 10e + 16 = (e + 2)(e + 8)
3. h^2 - 5h - 24 = (h - 8)(h + 3)
4. x^2 + 6x + 14 = x^2 + 6x + 14
5. a^2 - 9ab + 14b^2 = (a + 2b)(a - 7b)
activity 5:
1. 3x^2 - 5x - 12 = (3x + 4)(x - 3)
2. 3x^2 - 17x + 10 = (3x - 2)(x - 5)
3. 4x^2 + 4x - 15 = (2x - 3)(2x + 5)
4. 8x^3 - 34x^2 + 30x = 2x(4x - 5)(x - 3)
Step-by-step explanation:
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