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## Answers

For example:

(4x +3) (7 -3x)

**4x**· 7 = 28x

**4x**· -3x = -12x^2

**+3**· 7 = +21

**+3**· -3x = -9x

Then list them all.

28x -12x^2 +21 -9x

Combine like terms

=9x -12x^2 +21

Here is a useful method that I always use.

**First, list all the numbers that you see at the first binomial vertically, make sure you double it.**

4x

4x

+3

+3

**Second, list all the numbers that you see at the last binomial vertically, make sure you double it also, next on the first binomial, and also make sure that it is not repeating line by line**

4x 7

4x -3x

+3 7

+3 -3x

**Third, add the symbols. These includes the multiplication sign (algebra) and equal sign.**

4x · 7 =

4x · -3x =

+3 · 7 =

+3 · -3x =

**Fourth, solve it. Multiply the numerical coefficients and add the literal coefficient. If the signs are alike, the answer will be positive, if the signs are different, the answer will be negative.**

4x · 7 = 28x

4x · -3x = -12x^2

+3 · 7 = +21

+3 · -3x = -9x

**Fifth, list all the product HORIZONTALLY.**

28x -12x^2 +21 -9x

**Lastly, combine like terms or numbers having the same literal coefficients.**

9x -12x^2 +21

**F - First**

**L - Last**

**A - Add Symbol**

S - Solve

C - Combine Like Terms

FLASC

S - Solve

C - Combine Like Terms

FLASC