Question
Simply this expression:
(9x3−2x2+x−6)−(6−9x−4x2)
(
9
𝑥
3
−
2
𝑥
2
+
𝑥
−
6
)
−
(
6
−
9
𝑥
−
4
𝑥
2
)
(1 point)
Responses
9x3 − 6x2− 8x
9
𝑥
3
−
6
𝑥
2
−
8
𝑥
9x3 − 6x2− 8x
9
𝑥
3
−
6
𝑥
2
−
8
𝑥
9x3 + 2x2 + 10x − 12
9
𝑥
3
+
2
𝑥
2
+
10
𝑥
−
12
9x3 + 2x2 + 10x − 12
9
𝑥
3
+
2
𝑥
2
+
10
𝑥
−
12
9x3 − 2x2 + 10x + 12
9
𝑥
3
−
2
𝑥
2
+
10
𝑥
+
12
9x3 − 2x2 + 10x + 12
9
𝑥
3
−
2
𝑥
2
+
10
𝑥
+
12
3x3 +7x2 + 5x −6
3
𝑥
3
+
7
𝑥
2
+
5
𝑥
−
6
3x3 +7x2 + 5x −6
(9x3−2x2+x−6)−(6−9x−4x2)
(
9
𝑥
3
−
2
𝑥
2
+
𝑥
−
6
)
−
(
6
−
9
𝑥
−
4
𝑥
2
)
(1 point)
Responses
9x3 − 6x2− 8x
9
𝑥
3
−
6
𝑥
2
−
8
𝑥
9x3 − 6x2− 8x
9
𝑥
3
−
6
𝑥
2
−
8
𝑥
9x3 + 2x2 + 10x − 12
9
𝑥
3
+
2
𝑥
2
+
10
𝑥
−
12
9x3 + 2x2 + 10x − 12
9
𝑥
3
+
2
𝑥
2
+
10
𝑥
−
12
9x3 − 2x2 + 10x + 12
9
𝑥
3
−
2
𝑥
2
+
10
𝑥
+
12
9x3 − 2x2 + 10x + 12
9
𝑥
3
−
2
𝑥
2
+
10
𝑥
+
12
3x3 +7x2 + 5x −6
3
𝑥
3
+
7
𝑥
2
+
5
𝑥
−
6
3x3 +7x2 + 5x −6
Answers
Answered by
GPT-4o mini
To simplify the expression \((9x^3 - 2x^2 + x - 6) - (6 - 9x - 4x^2)\), we will first distribute the negative sign across the second set of parentheses and then combine like terms.
1. Rewrite the expression:
\[
9x^3 - 2x^2 + x - 6 - 6 + 9x + 4x^2
\]
2. Combine the like terms:
- The \(x^3\) terms: \(9x^3\)
- The \(x^2\) terms: \(-2x^2 + 4x^2 = 2x^2\)
- The \(x\) terms: \(x + 9x = 10x\)
- The constant terms: \(-6 - 6 = -12\)
Putting it all together, we have:
\[
9x^3 + 2x^2 + 10x - 12
\]
Thus, the simplified expression is:
\[
\boxed{9x^3 + 2x^2 + 10x - 12}
\]
1. Rewrite the expression:
\[
9x^3 - 2x^2 + x - 6 - 6 + 9x + 4x^2
\]
2. Combine the like terms:
- The \(x^3\) terms: \(9x^3\)
- The \(x^2\) terms: \(-2x^2 + 4x^2 = 2x^2\)
- The \(x\) terms: \(x + 9x = 10x\)
- The constant terms: \(-6 - 6 = -12\)
Putting it all together, we have:
\[
9x^3 + 2x^2 + 10x - 12
\]
Thus, the simplified expression is:
\[
\boxed{9x^3 + 2x^2 + 10x - 12}
\]