Question

Simplify the following expressions. Be sure to write your simplified expression in descending order
(7x-1)(-3x+3)

Answer 1

To simplify the expression \((7x - 1)(-3x + 3)\), we use the distributive property (also known as the FOIL method for binomials):

1. Multiply \(7x\) by \(-3x\):
\[
7x \cdot -3x = -21x^2
\]

2. Multiply \(7x\) by \(3\):
\[
7x \cdot 3 = 21x
\]

3. Multiply \(-1\) by \(-3x\):
\[
-1 \cdot -3x = 3x
\]

4. Multiply \(-1\) by \(3\):
\[
-1 \cdot 3 = -3
\]

Now, we combine all the results:
\[
-21x^2 + 21x + 3x - 3
\]

Combine like terms:
\[
-21x^2 + (21x + 3x) - 3 = -21x^2 + 24x - 3
\]

So, the simplified expression in descending order is:
\[
\boxed{-21x^2 + 24x - 3}
\]