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 can use the distributive property (also known as the FOIL method for binomials). We will multiply each term in the first binomial by each term in the second binomial.

1. Multiply \(7x\) by each term in \(-3x + 3\):
- \(7x \cdot (-3x) = -21x^2\)
- \(7x \cdot 3 = 21x\)

2. Multiply \(-1\) by each term in \(-3x + 3\):
- \(-1 \cdot (-3x) = 3x\)
- \(-1 \cdot 3 = -3\)

Now, we combine all the results:

\[
-21x^2 + 21x + 3x - 3
\]

Next, combine the like terms \(21x\) and \(3x\):

\[
-21x^2 + (21x + 3x) - 3 = -21x^2 + 24x - 3
\]

Finally, write the expression in descending order:

\[
-21x^2 + 24x - 3
\]

So the simplified expression is:

\[
-\mathbf{21x^2 + 24x - 3}
\]