Adding and Subtracting Polynomials Exercises

Add 3x – y – z and x – 5y + z.

Hint

Rewrite as (3x – y – z) + (x – 5y + z).

Add 2x³y + x²y² – xy² and 3x³y – 3x²y² – 2xy².

Hint

Rewrite as (2x³y + x²y² – xy²) + (3x³y – 3x²y² – 2xy²).

Subtract 2a² – 3ab + b² from a² – 2ab – 3b².

Hint

Careful: we rewrite this guy as (a² – 2ab – 3b²) – (2a² – 3ab + b²).

Simplify 5c + d – (-2c + d).

Hint

Distribute that negative to get 5c + d + 2c – d.

Simplify x – (x – y) – (y – z).

Hint

Knock out both negatives to get x – x + y – y + z.

Simplify 3m + 2n – [(m – n) – (m + n)].

Hint

3m + 2n – [m – n – m – n]

Simplify 2x – [x + (x + 1) – (3x – 1) + 2x].

Hint

Start with the inner parentheses: 2x – [x + x + 1 – 3x + 1+ 2x].