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

Question

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

Video Solution

Solution Steps

00:06 Let's solve the problem together.
00:09 Remember, when you multiply a negative by a positive, the answer is always negative.
00:20 Now, let's gather all the terms.
00:26 Great job! And that's how we find the solution.

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