To simplify the expression \( 3z^2 - (-2z^3 + 6z^2) \), follow these steps: 1. Distribute the negative sign across the terms inside the parentheses: \[ 3z^2 - (-2z^3 + 6z^2) = 3z^2 + 2z^3 - 6z^2 \] 2. Combine like terms. The terms involving \( z^2 \) are \( 3z^2 \) and \( -6z^2 \): \[ 3z^2 - 6z^2 = -3z^2 \] 3. Now, include the \( 2z^3 \) term: \[ 2z^3 - 3z^2 \] So, the simplified expression is: \[ 2z^3 - 3z^2 \]

3z2–(

–
2z3+6z2)

1 answer

To simplify the expression \( 3z^2 - (-2z^3 + 6z^2) \), follow these steps:

Distribute the negative sign across the terms inside the parentheses: \[ 3z^2 - (-2z^3 + 6z^2) = 3z^2 + 2z^3 - 6z^2 \]
Combine like terms. The terms involving \( z^2 \) are \( 3z^2 \) and \( -6z^2 \): \[ 3z^2 - 6z^2 = -3z^2 \]
Now, include the \( 2z^3 \) term: \[ 2z^3 - 3z^2 \]

So, the simplified expression is: \[ 2z^3 - 3z^2 \]