Free Algebra Tutorials!
Try the Free Math Solver or Scroll down to Tutorials!

 Depdendent Variable

 Number of equations to solve: 23456789
 Equ. #1:
 Equ. #2:

 Equ. #3:

 Equ. #4:

 Equ. #5:

 Equ. #6:

 Equ. #7:

 Equ. #8:

 Equ. #9:

 Solve for:

 Dependent Variable

 Number of inequalities to solve: 23456789
 Ineq. #1:
 Ineq. #2:

 Ineq. #3:

 Ineq. #4:

 Ineq. #5:

 Ineq. #6:

 Ineq. #7:

 Ineq. #8:

 Ineq. #9:

 Solve for:

 Please use this form if you would like to have this math solver on your website, free of charge. Name: Email: Your Website: Msg:

To add polynomials, combine like terms.

Recall that like terms are terms that have the same variables raised to the same power. That is, like terms have the same variables with the same exponents.

Like terms

3x, -12x

-8xy2, 5.6xy2

24, -11

4xy, 6yx

NOT like terms

 7x, -5xy The variables do not match. 3x2y3, -2x3y2 The powers of x do not match. The powers of y do not match.

Example 1

Find: (5x3 - 13x2 - 7) + (16x3 + 8x2 - x + 15)

 Solution (5x3 - 13x2 - 7) + (16x3 + 8x2 - x + 15) Remove the parentheses. = 5x3 - 13x2 - 7 + 16x3 + 8x2 - x + 15 Write like terms next to each other. = 5x3 + 16x3 - 13x2 + 8x2 - x - 7 + 15 Combine like terms. = 21x3 - 5x2 - x + 8

Note:

We can also place one polynomial beneath the other and add like terms.

Example 2

Find the sum of (3z3 + 2zy2 - 6y3) and (15z3 - 5zy2 + 4z2).

Solution

 Write the sum. (3z3 + 2zy2 - 6y3) + (15z3 - 5zy2 + 4z2) Remove the parentheses. = 3z3 + 2zy2 - 6y3 + 15z3 - 5zy2 + 4z2 Write like terms next to each other. = 3z3 + 15z3 + 2zy2 - 5zy2 - 6y3 + 4z2 Combine like terms. = 18z3 - 3zy2 - 6y3 + 4z2

Note:

We can also place one polynomial beneath the other and add like terms.