What is the mathematical reasoning for Step 3?

A 2-column table with 5 rows. First column is labeled Reason with entries Given, Step 1, Step 2, Step 3, Step 4. Second column is labeled Step with entries three-fourths x (negative 8 x + 6), (three-fourths x) (negative 8 x) + (three-fourths x) (6), three-fourths times (negative 8) times x times x + three-fourths times 6 times x, (three-fourths times (negative 8)) times (x times x) + (three-fourths times 6) times x, negative 6 x squared + 9 over 2 x.

associative property
commutative property
distributive property
simplify

Respuesta :

Based on the operation in step 3, the mathematical reasoning that we see is the Associative property.

What is the reasoning in step 3?

Step 2 was:

= 3/4x (-8x) + (3/4x) (6)

Step 3 then became:

3/4 x (-8) × x × x  + 3/4 x 6x

This shows the associative property because the numbers were regrouped but because they are being multiplied by each other, the result will not change.

Find out more on the associative property at https://brainly.com/question/13181.

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