How to simplify this expression algebra?
- llafferLv 79 years agoFavorite Answer
If you are multiply two polynomials together, think of the FOIL technique from binomial multiplication.
Firsts - Outers - Inners - Lasts.
Basically, each term of the first binomial is multiplied by every term of the second.
When dealing with polynomials, nothing has changed.
Each term of the first trinomial is multiplied by every term of the second.
So we have:
(6x² + 6x - 2)(6x² - 4x + 18)
First, the 6x² is multiplied by the 2nd trinomial:
36x^4 - 24x³ + 108x²
Then the 6x is multiplied:
36x³ - 24x² + 108x
Then the -2:
-12x² + 8x - 36
Now, add them all together, and combine like terms to simplify:
(36x^4 - 24x³ + 108x²) + (36x³ - 24x² + 108x) + (-12x² + 8x - 36)
36x^4 + 12x³ + 72x² + 116x - 36