1. (3x + 16)(2x - 7)
F (3x)(2x) = 6x²
O (3x)(-7) = -21x
I (16)(2x) = 32x
L (16)(-7) = -112
6x² - 21x + 32x - 112
6x² + 11x - 112
2. (x - 4)(x + 8)
F (x)(x) = x²
O (x)(8) = 8x
I (-4)(x) = -4x
L (-4)(8) = -32
x² + 8x - 4x - 32
x² + 4x - 32
3. (3x + 6)(2x - 7)
F (3x)(2x) = 6x²
O (3x)(-7) = -21x
I (6)(2x) = 12x
L (6)(-7) = -42
6x² - 21x + 12x - 42
6x² - 9x - 42
4. (x - 10)(x + 10)
F (x)(x) = x²
O (x)(10) = 10x
I (-10)(x) = -10x
L (-10)(10) = -100
x² + 10x - 10x - 100
x² - 100
5. (a + 9)(a - 9)
F (a)(a) = a²
O (a)(-9) = -9a
I (9)(a) = 9a
L (9)(-9) = -81
a² - 9a + 9a - 81
a² - 81
6. (5m²n³ + 7)(5m²n³ - 7)
F (5m²n³)(5m²n³) = 5m⁴n^6
O (5m²n³)(-7) = -35m²n³
I (7)(5m²n³) = 35m²n³
L (7)(-7) = -49
5m⁴n^6 - 35m²n³ + 35m²n³ - 49
5m⁴n^6 - 49
7. (3x⁴ - 5y^6)(3x⁴ + 5y^6)
F (3x⁴)(3x⁴) = 9x^8
O (3x⁴)(5y^6) = 15x⁴y^6
I (-5y^6)(3x⁴) = -15x⁴y^6
L (-5y^6)(5y^6) = -25y¹²
9x^8 + 15x⁴y^6 - 15x⁴y^6 - 25y¹²
9x^8 - 25y¹²
8. (x + 8)² = (x + 8)(x + 8)
F (x)(x) = x²
O (x)(8) = 8x
I (8)(x) = 8x
L (8)(8) = 64
x² + 8x + 8x + 64
x² + 16x + 64
9. (y - 11)² = (y - 11)(y - 11)
F (y)(y) = y²
O (y)(-11) = -11y
I (-11)(y) = -11y
L (-11)(-11) = 121
y² - 11y - 11y + 121
y² - 22y + 121
10. (4a + 6b)² = (4a + 6b)(4a + 6b)
F (4a)(4a) = 16a²
O (4a)(6b) = 24ab
I (6b)(4a) = 24ab
L (6b)(6b) = 36b²
16a² + 24ab + 24ab + 36b²
16a² + 48ab + 36b²
11 and 12. How to solve it. In the first picture
13 and 14. I can't remember it all on how to solve it.
You're doing a great job, keep it up!
