By Kristine Brite • Updated Aug 30, 2022

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Simplifying an algebraic expression is the foundational step toward solving any algebraic problem. By reducing the expression to its simplest form, you not only streamline calculations but also reduce the risk of error.

1. Resolve any expressions inside brackets first. For example, in 2 + 2x[2(3x+2)+2], compute the inner brackets before moving on.
2. Eliminate parentheses by distributing any factor outside the brackets. For instance, 2(4x+2) becomes 8x+4.
3. Handle radicals and exponents. Simplify square roots or power terms before proceeding.
4. Carry out all multiplication operations.
5. Combine like terms by adding their coefficients (the numeric factor of a variable). For example, in 2x the coefficient is 2.
6. Finally, add any remaining constant numbers.

Watch the accompanying video for a step‑by‑step example involving a fractional expression.