When solving the equation 12x^2-7x=6 -2x^2+2 as his first step which property justifies this step?
A) subtraction property or equality
B) multiplication property of equality
C) associative property of multiplication
D) distributive property of multiplication over subtraction

Respuesta :

first step
12x^2-7x=6 (-2x^2+2)
12x^2 - 7x = -12x^2 + 12

answer is D.
D) distributive property of multiplication over subtraction

The property applied which justifies his first step is: D) distributive property of multiplication.

What is the Distributive Property of Multiplication?

Th distributive property of multiplication states that, c(a + b) = ac + bc.

The first step given is:

12x² - 7x = 6(-2x² + 2)

Applying the distributive property of multiplication over subtraction, we would have:

12x² - 7x = 6(-2x²) + 6(2)

12x² - 7x = -12x² + 12

Thus, the property that justifies this step is: D) distributive property of multiplication

Learn more about the distributive property of multiplication on:

https://brainly.com/question/2898526

#SPJ2