Question

5 A part of Jennifer's work to solve the equation
2(6x² – 3) = 11x? – x is shown below.
Given: 2(6r? - 3) = 11x? - x
Step 1: 12x2 - 6 = 11x2 - x
Which property justifies her first step?
1) identity property of multiplication
2) multiplication property of equality
commutative property of multiplication
4) distributive property of multiplication over
subtraction

Answer 1

Answer:

Option 4) distributive property of multiplication over  subtraction

Step-by-step explanation:

we know that

The distributive property of multiplication over subtraction states that the product of a difference, is equal to the difference of the products

so

$a(b-c)=ab-ac$

we have

$2(6x^{2}-3)=11x^{2}-x$

Applying distributive property of multiplication over  subtraction

$2(6x^{2})-2(3)=11x^{2}-x$

$12x^{2}-6=11x^{2}-x$