Easy Algebra Step-by-Step

Adding and Subtracting Polynomials 93

Step 2. Systematically combine matching like terms and indicate addition or

subtraction of unlike terms.

=−+ 433 xxx^32 +++ 33333 − 18

Step 3. Review the main results.

388210

433

4 3 238 8

(^3233)
4 x xx xx 2
xx 33
()^4 xx^3233333 x^2 −x+^88 ()^8888 xx^33 +^2121 x^1000444 x^3 + −^8 +
=− 3333 xx+ 18
Exercise 8
For 1–5, state the most specifi c name for the given polynomial.

1. xx^2 −+x 1


2. 125 xy^333646464


3. 27 xx^2777 x− 4
   4. −

1

3

xy^525

5. 2 xx^4333333 x^3 − 78 xx^2

For 6–14, simplify.

6. −+ 15 xx+ 1717


7. 14 xy^33 − 77 xy^32


8. 10 xx^222222220 x^2


9. 10 + 10 x


10. 12 xx^33255555106 xx 666030300 32 − 7177 x


11. ()^22 )+()(((


12. ()^32 )) ()(^32


13. ()^22 )−()(((


14. ()^32 ))))) (((()^32