Multiply and simplify. Assume that variables represent nonzero real numbers.

To multiply and simplify a mathematical expression involving variables, start by using the distributive property or the FOIL method for binomials. For instance, if you have the expression (3x + 2)(2x - 5), multiply each term in the first binomial by each term in the second. This gives you 3x * 2x + 3x * (-5) + 2 * 2x + 2 * (-5), which simplifies to 6x² - 15x + 4x - 10. Combine like terms to arrive at the final simplified expression: 6x² - 11x - 10. Always be cautious with the signs while multiplying! A common mistake is forgetting to distribute negative signs correctly, which can lead to inaccuracies in your final expression. Reread your work to check that each term has been multiplied correctly and that you have combined like terms accurately for the best results!