Question

Apply the distributive property to create an equivalent expression. 4\left(3 + \dfrac14c - \dfrac12d\right) =4(3+ 4 1 ​ c− 2 1 ​ d)=

Answer 1

Answer:

The equivalent expression is $12+c-2d$

Step-by-step explanation:

Using the distributive property we expand the expression

$4\left(3 + \dfrac14c - \dfrac12d\right)$

as follows:

$4\left(3 + \dfrac14c - \dfrac12d\right)=(4*3)+(4*\dfrac{1}{4} c)-(4*\dfrac{1}{2} d)$

$=(12)+(c)-(2d)$

$=\boxed{ 12+c-2d}$

which is the equivalent expression.