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

Option 4) distributive property of multiplication over subtraction

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`