Question

Use the distributive property to simplify the expression completely 4-(7c-3)

Answer 1

Given expression:

`=4\text{ - (7c - 3)}`

Using distributive property:

`a(\text{ b + c) = a.b + a.c}`

Applying the distributive property:

`\begin{gathered} =\text{ 4 - 1(7c -3)} \\ =\text{ 4 -1}*7c-1*-3 \\ =\text{ 4 -7c+ 3} \end{gathered}`

Collect like terms:

`\begin{gathered} =\text{ }4+3\text{ - 7c} \\ =\text{ 7 - 7c} \end{gathered}`

The final expression is:

`=\text{ 7 -7c}`