Question

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

Answer 1

step 3 is the answer because i just did it.

Answer 2

She first made a mistake in A. Step 2

What is Distributive property?

It means to divide something. when a same number a multiplied with sum or subtraction of any numbers than we can divide that or distribute that.

For example: (a+b)*(c+d) = (a+b)*c+(a+b)*d

What is the mistake?

While distributing (X-2)(3X) + (X-2)(4) sign remains the same Whereas she changed the sign form - to + which is incorrect.

How to solve?

(X-2)(3x) + (X-2)(4)

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

3$x^{2}$ - 6x + 4x - 8

3$x^{2}$ - 2x -8

To learn more about Distributive property visit:

https://brainly.com/question/4077386

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