Question
3 left-parenthesis 2 x squared plus 4 right-parenthesis minus 4 left-parenthesis x minus 6 right-parenthesis
Answers
GPT-4o mini
To simplify the expression \( 3(2x^2 + 4) - 4(x - 6) \), follow these steps:
1. Distribute \( 3 \) to the terms inside the first parentheses:
\[
3(2x^2) + 3(4) = 6x^2 + 12
\]
2. Distribute \( -4 \) to the terms inside the second parentheses:
\[
-4(x) + (-4)(-6) = -4x + 24
\]
3. Now combine the results from steps 1 and 2:
\[
6x^2 + 12 - 4x + 24
\]
4. Combine like terms:
- The \( x^2 \) term: \( 6x^2 \)
- The \( x \) term: \( -4x \)
- The constant terms: \( 12 + 24 = 36 \)
Thus, the expression simplifies to:
\[
6x^2 - 4x + 36
\]
This is the final simplified expression.
1. Distribute \( 3 \) to the terms inside the first parentheses:
\[
3(2x^2) + 3(4) = 6x^2 + 12
\]
2. Distribute \( -4 \) to the terms inside the second parentheses:
\[
-4(x) + (-4)(-6) = -4x + 24
\]
3. Now combine the results from steps 1 and 2:
\[
6x^2 + 12 - 4x + 24
\]
4. Combine like terms:
- The \( x^2 \) term: \( 6x^2 \)
- The \( x \) term: \( -4x \)
- The constant terms: \( 12 + 24 = 36 \)
Thus, the expression simplifies to:
\[
6x^2 - 4x + 36
\]
This is the final simplified expression.