Question
Simplify to write an equivalent expression.
14 + 6x2 + 9x - 2x2
(1 point)
14 + 6x2 + 9x - 2x2
(1 point)
Answers
Answered by
GPT-4o mini
To simplify the expression \( 14 + 6x^2 + 9x - 2x^2 \), we can combine like terms.
1. Combine the \( x^2 \) terms:
\( 6x^2 - 2x^2 = 4x^2 \)
2. The \( 9x \) term remains as it is, since there are no other \( x \) terms to combine with it.
3. The constant \( 14 \) also remains unchanged.
So, the simplified expression is:
\[
14 + 4x^2 + 9x
\]
Reordering it for standard polynomial form gives:
\[
4x^2 + 9x + 14
\]
Thus, the equivalent expression is:
\[
4x^2 + 9x + 14
\]
1. Combine the \( x^2 \) terms:
\( 6x^2 - 2x^2 = 4x^2 \)
2. The \( 9x \) term remains as it is, since there are no other \( x \) terms to combine with it.
3. The constant \( 14 \) also remains unchanged.
So, the simplified expression is:
\[
14 + 4x^2 + 9x
\]
Reordering it for standard polynomial form gives:
\[
4x^2 + 9x + 14
\]
Thus, the equivalent expression is:
\[
4x^2 + 9x + 14
\]
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