Answer:
Step-by-step explanation:
1) (y - 1)²
1. y*y =y²
2. 2(y)(-1)= -2y
3 . (1)(1) = 1
(y-1)² = y² - 2y + 1
2) (6y + 3)²
1. (6y)(6y) = 36y²
2. (2)(6y)(3)=36y
3. (3)(3) = 9
(6y + 3)² = 36y² + 36y + 9
3) (4x - y)²
1. (4x)(4x) = 16x²
2. (2)(4x)(-y) = -8xy
3. (y)(y) = y²
(4x -y)² = 16x² - 8xy + y²
4) (y - 12)²
1.(y)(y) = y²
2. (2)(y)(-12) = -24y
3. (12)(12) = 144
(y - 12)² = y² - 24y + 144
[tex](x + \dfrac{1}{3})^{2}\\\\ 1. (x)(x) =x^{2}\\\\ 2. (2)(x)(\dfrac{1}{3})=\dfrac{2}{3}x\\\\\\ 3. (\dfrac{1}{3})(\dfrac{1}{3})=\dfrac{1}{9}\\\\\\(x +\dfrac{1}{3})^{2}=x^{2}+\dfrac{2}{3}x+\dfrac{1}{9}[/tex]
6) (ab +c)²
1.(ab)(ab) = a²b²
2. (2)(ab)(c)=2abc
3. (c)(c)=c²
(ab+c)² = a²b² + 2abc + c²
