AlgebraKey Stage 3

Simplifying by collecting like terms

Identify like terms and simplify expressions by collecting them.

  • Like terms have exactly the same letters raised to the same powers.
  • Add or subtract their coefficients. Keep the letter part unchanged.
  • Keep the sign with each term when regrouping.
TermsLike terms?
and Yes
and Yes
and No
and No

Example

Simplify the expression.

Remember
and are the same product, so they are like terms.

Your turn

Question 1

Simplify.

Check answer
Question 2

Simplify.

Check answer
Question 3

Simplify.

Check answer
Question 4

Simplify.

Check answer
Question 5

Simplify.

Check answer