Answer :
9y² - 6y + 1
Explanation :
Rewrite ( 3y - 1 )² as ( 3y - 1 ) ( 3y - 1 )
(3y - 1) (3y - 1)Expand ( 3y - 1 ) ( 3y - 1 ) using the FOIL method.
- Apply the distributive property.
3y (3y −1) −1 (3y −1)
- Apply the distributive property.
3y (3y)+ 3y ⋅ −1 −1 (3y −1)
- Apply the distributive property.
3y (3y) + 3y ⋅ − 1 −1 (3y) −1 ⋅ –1
Simplify and combine like terms.
Simplify each term.
- Rewrite using the commutative property of multiplication.
3 · 3y · y + 3y · –1 –1 (3y) –1 · –1.Multiply y by y by adding the exponents.
3 · 3y · y + 3y · –1 –1 (3y) –1 · –1.
3 ⋅ 3 (y ⋅ y) + 3y ⋅ −1 −1 (3y) −1 ⋅ −1
3 ⋅ 3 (y ⋅ y) + 3y ⋅ −1 −1 (3y) −1 ⋅ −1
Multiply 3 by 3.
9y² + 3y · –1 –1 (3y) –1 · –1
9y² –3y –1 (3y) –1 · –1
9y² –3y –3y –1 ·–1
9y² –3y –3y + 1
Subtract 3y from –3y.
9y² –6y + 1