To simplify the expression \( 2(y - 2)^2 \), you can follow these steps: 1. **Expand the squared term**: \[ (y - 2)^2 = y^2 - 4y + 4 \] 2. **Multiply by 2**: \[ 2(y - 2)^2 = 2(y^2 - 4y + 4) \] Distributing the 2 gives: \[ = 2y^2 - 8y + 8 \] So, the simplified form of \( 2(y - 2)^2 \) is: \[ 2y^2 - 8y + 8 \]

2(y-2)^2

1 answer

To simplify the expression \( 2(y - 2)^2 \), you can follow these steps:

Expand the squared term: \[ (y - 2)^2 = y^2 - 4y + 4 \]
Multiply by 2: \[ 2(y - 2)^2 = 2(y^2 - 4y + 4) \] Distributing the 2 gives: \[ = 2y^2 - 8y + 8 \]

So, the simplified form of \( 2(y - 2)^2 \) is: \[ 2y^2 - 8y + 8 \]