Asked by nut
Use the Distributive Property to rewrite the expression (2x−2)(x−6)
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2
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2
)
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6
)
.(1 point)
Responses
2x2+10x−10
2
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2
+
10
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−
10
2 x squared plus 10 x minus 10
x2−8x+12
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2
−
8
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12
x squared minus 8 x plus 12
2x2−14x+12
2
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2
−
14
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+
12
2 x squared minus 14 x plus 12
3x2−10x−8
(
2
𝑥
−
2
)
(
𝑥
−
6
)
.(1 point)
Responses
2x2+10x−10
2
𝑥
2
+
10
𝑥
−
10
2 x squared plus 10 x minus 10
x2−8x+12
𝑥
2
−
8
𝑥
+
12
x squared minus 8 x plus 12
2x2−14x+12
2
𝑥
2
−
14
𝑥
+
12
2 x squared minus 14 x plus 12
3x2−10x−8
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To rewrite the expression \((2x−2)(x−6)\) using the Distributive Property, we can multiply each term in the first parentheses by each term in the second parentheses.
Let's distribute:
1. Multiply \(2x\) by \(x\):
\[
2x \cdot x = 2x^2
\]
2. Multiply \(2x\) by \(-6\):
\[
2x \cdot (-6) = -12x
\]
3. Multiply \(-2\) by \(x\):
\[
-2 \cdot x = -2x
\]
4. Multiply \(-2\) by \(-6\):
\[
-2 \cdot (-6) = 12
\]
Now, we combine all these results:
\[
2x^2 - 12x - 2x + 12
\]
Combine the terms \(-12x\) and \(-2x\):
\[
2x^2 - 14x + 12
\]
So, the rewritten expression is:
\[
2x^2 - 14x + 12
\]
The correct response is:
**2x²−14x+12** (which can also be stated as "2 x squared minus 14 x plus 12").
Let's distribute:
1. Multiply \(2x\) by \(x\):
\[
2x \cdot x = 2x^2
\]
2. Multiply \(2x\) by \(-6\):
\[
2x \cdot (-6) = -12x
\]
3. Multiply \(-2\) by \(x\):
\[
-2 \cdot x = -2x
\]
4. Multiply \(-2\) by \(-6\):
\[
-2 \cdot (-6) = 12
\]
Now, we combine all these results:
\[
2x^2 - 12x - 2x + 12
\]
Combine the terms \(-12x\) and \(-2x\):
\[
2x^2 - 14x + 12
\]
So, the rewritten expression is:
\[
2x^2 - 14x + 12
\]
The correct response is:
**2x²−14x+12** (which can also be stated as "2 x squared minus 14 x plus 12").
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