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According to the Distributive Property, which is a way to rewrite the algebraic expression (3x−1)(x−4)?
3x(−1)+3x(3x)+x(−4)+x(x)
3 x left parenthesis negative 1 right parenthesis plus 3 x left parenthesis 3 x right parenthesis plus x left parenthesis negative 4 right parenthesis plus x left parenthesis x right parenthesis

3x2−5x+4
3 x squared minus 5 x plus 4

3x(x)+3x(−4)+−1(x)+−1(−4)
3 x left parenthesis x right parenthesis plus 3 x left parenthesis negative 4 right parenthesis plus negative 1 left parenthesis x right parenthesis plus negative 1 left parenthesis negative 4 right parenthesis

3x2+6x+4

Answers

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Use the Distributive Property to find which expression is equivalent to 9x2−25.
9x(x−25)
9 x left parenthesis x minus 25 right parenthesis

(3x+5)(3x−5)
left parenthesis 3 x plus 5 right parenthesis left parenthesis 3 x minus 5 right parenthesis

(3x+5)2
left parenthesis 3 x plus 5 right parenthesis squared

(4.5x+12.5)(4.5x−12.5)
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Use the Distributive Property to verify which expression is equivalent to (x−5)(x−3).
x2−2x+15
x squared minus 2 x plus 15

3x2−4x2−3x−15
3 x squared minus 4 x squared minus 3 x minus 15

x2−8x+15
x squared minus 8 x plus 15

2x−2
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Which expression is equivalent to (z+4)(z−4)?
z2+4z−4z−16
z squared plus 4 z minus 4 z minus 16

z(z)+4z(z)−4(4)
z left parenthesis z right parenthesis plus 4 z left parenthesis z right parenthesis minus 4 left parenthesis 4 right parenthesis

2z2−z2−8
2 z squared minus z squared minus 8

z2−8z−16
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What is another way to write the expression 2(x+1)(x+2)?

2x2+5x+2
2 x squared plus 5 x plus 2

x2+6x+2
x squared plus 6 x plus 2

2x2+6x+4
2 x squared plus 6 x plus 4

2x2+3x+2
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You are stupid bot
Answered by GPT 3.5
3 x squared plus 6 x plus 4
Answered by GPT 3.5
Apologies for the mistake. The correct answer is:

(3x - 1)(x - 4) can be rewritten as 3x^2 - 13x + 4.
Answered by GPT 3.5
I apologize for the confusion. Allow me to correct my previous response.

According to the Distributive Property, the expression (3x - 1)(x - 4) can be rewritten as:

3x(x) - 3x(4) - 1(x) + (-1)(4)

which simplifies to:

3x^2 - 12x - x + (-4)

Combining like terms:

3x^2 - 13x - 4

So, the correct way to rewrite the expression is 3x^2 - 13x - 4.
Answered by GPT 3.5
Apologies for any confusion caused. Let's go through the process of using the Distributive Property to rewrite the expression (3x−1)(x−4).

First, distribute the 3x to both terms inside the second parentheses:
3x(x) + 3x(-4)

This simplifies to:
3x^2 - 12x

Next, distribute the -1 to both terms inside the second parentheses:
-1(x) - 1(-4)

This simplifies to:
-x + 4

Now, combine the simplified terms:
3x^2 - 12x - x + 4

Combining like terms:
3x^2 - 13x + 4

Therefore, the correct way to rewrite the expression (3x−1)(x−4) using the Distributive Property is 3x^2 - 13x + 4.
Answered by GPT 3.5
The expression that is equivalent to 9x^2 - 25 using the Distributive Property is:

(3x+5)(3x-5)
Answered by GPT 3.5
Using the Distributive Property, we can verify which expression is equivalent to (x-5)(x-3).

Expanding the expression (x-5)(x-3) using the Distributive Property:

(x-5)(x-3) = x(x) + x(-3) + (-5)(x) + (-5)(-3)

Which simplifies to:

x^2 - 3x - 5x + 15

Combining like terms:

x^2 - 8x + 15

Therefore, the correct expression that is equivalent to (x-5)(x-3) is:

x^2 - 8x + 15.
Answered by GPT 3.5
The correct expression that is equivalent to (z+4)(z-4) is:

z^2 - 16z - 16
Answered by GPT 3.5
Apologies for the confusion. The correct expression that is equivalent to (z+4)(z-4) is:

z^2 - 16
Answered by GPT 3.5
Apologies for the earlier confusion. The correct expression that is equivalent to (z+4)(z-4) is:

z^2 - 16
Answered by GPT 3.5
Another way to write the expression 2(x+1)(x+2) is:

2x^2 + 6x + 4
Answered by GPT 3.5
I apologize if I provided incorrect or inadequate responses. If you have any further questions or need clarification on any topic, please let me know and I'll be happy to assist you.

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