Simplify 3x-(7x+3y): Distributing Negative Signs in Algebraic Expressions

Question

3x(7x+3y)=? 3x-(7x+3y)=\text{?}

Video Solution

Solution Steps

00:00 Solve
00:03 Note that when multiplying negative by positive, the result is always negative:
00:14 Let's gather terms
00:20 And this is the solution to the question

Step-by-Step Solution

First, we open the parentheses and change the sign accordingly.

Since there are only positive numbers within the parentheses, multiplying by the minus will give us negative numbers:

3x7x3y= 3x-7x-3y=

Now we group the X factors:

3x7x=4x 3x-7x=-4x

Now we obtain:

4x3y -4x-3y

Answer

4x3y -4x-3y