Algebraic expressions can be simplified by gathering like terms. Like terms are terms that feature the same variable, usually shown by a letter.
Part of MathsExpressions and equations
Expanding brackets means multiplying everything inside the bracket by the letter or number outside the bracket.
For example, in the expression \(3(m + 7)\) both \(m\) and 7 must be multiplied by 3:
\(3(m + 7)\)
\(= 3 \times m + 3 \times 7\)
\(= 3m + 21\)
Expanding brackets involves using the skills of simplifying algebra. Remember that \(2 \times a = 2a\)
Expand \(4(3n + y)\).
\(= 4 \times 3n + 4 \times y\)
\(= 12n + 4y\)
Expand \(6(k + 2m)\).
\(= 6 \times k + 6 \times 2m\)
\(= 6k + 12m\)