Adding and Subtracting Polynomials Explained

Terms with the same variable and the same exponent

Terms with the same variable but different exponents

Terms with no variables

Terms with different variables and exponents

By multiplying a number in front of the parentheses to each term inside

By subtracting each term inside the parentheses

By adding a number in front of the parentheses to each term inside

By dividing each term inside the parentheses

Ignore the negative sign

Multiply by negative one outside the parentheses only

Consider it as a negative one and distribute

Add one to each term inside

Subtract terms inside parentheses

Combine like terms

Multiply a number across terms inside parentheses

Divide terms by the number in front of parentheses

7x^2

x^2

-x^2

1x^4

Divide each term by the coefficient

Combine like terms

Combine unlike terms

Square each term

7p^4

10p^2

3p^2

7p^2

-p^3

p^6

5p^3

-5p^3

-6x

6x

-2x

2x

-12

12

-24

24