Question

Use the distributive property to write an expression that is equivalent to the expression 4(12 - 3x) + 6 for all values of x.

Answer 1

-12x + 54

Explanation:

Using the distributive property, distribute 4 to the terms in the parentheses:

4(12 - 3x) + 6

Multiply 12 and -3x by 4:

48 - 12x + 6

Add like terms:

-12x + 54

So, the answer is -12x + 54

Answer 2

9514 1404 393

Answer:

54 -12x

Explanation:

The factor outside parentheses multiplies each term inside.

4(12 -3x) +6 = 4(12) +4(-3x) +6

= 48 -12x +6

= 54 -12x