Question

DISTRIBUTIVE PROPERTY Use the distributive property to rewrite the expression without parentheses. $$ 2(3 x-1) $$

Short answer

The expression without parentheses will be \(6x - 2\).

Step-by-step solution

Identify Variables and Values

Identify the real numbers \(a\), \(b\), and \(c\) in the expression according to the distributive property. In this case, \(a = 2\), \(b = 3x\), and \(c = -1\).

Multiply a and b

Multiply \(a\) by \(b\) to obtain \(ab\). In this case, it's \(2 * 3x\) which equals to \(6x\).

Multiply a and c

Multiply \(a\) by \(c\) to obtain \(ac\). Here, \(a * c = 2 * -1\), which equals \(-2\)

Rewrite Using Distributive Property

Add or subtract (according to the sign) the results \(ab\) and \(ac\) obtained in steps 2 and 3 to rewrite the expression without parentheses. So, \(2(3x - 1)\) equals to \(6x - 2\)