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Kate multiplied two binomials using the distributive property. She made a mistake in one of the steps. Where did she first make a mistake?


(x – 2)(3x + 4)


1. (x – 2)(3x) + (x – 2)(4)

2. (x)(3x) + (2)(3x) + (x)(4) + (2)(4)

3. 3x2 + 6x + 4x + 8

4. 3x2 + 10x + 8


A. Step 2

B. Step 3

C. Step 4

D. Step 1

Respuesta :

lublana

If you look carefully then you will find that Negative sign which was in step1, is missing in step2 after applying distributive property.

so that means step2 is wrong.

Hence final answer is A. Step 2.

Ver imagen lublana
MrRoyal

Binomial expansions are used to expand expressions of two terms

Kate's solution is incorrect at step (2).

The expression is given as:

[tex]\mathbf{(x - 2)(3x + 4)}[/tex]

Apply distributive property

[tex]\mathbf{(x - 2)(3x + 4) = (x - 2)(3x) + (x -2)(4)}[/tex] ---- this is the same as Kate's step 1

Apply distributive property

[tex]\mathbf{(x - 2)(3x + 4) = (x)(3x) - (2)(3x) + (x)(4) -(2)(4)}[/tex]

The step 2 of Kate's solution is incorrect.

Because she incorrectly expressed -(2)(4) as +(2)(4)

Hence, Kate's solution is incorrect at step (2).

Read more about distributive property at:

https://brainly.com/question/5637942

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