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In mathematics, expanding refers to the process of simplifying an algebraic expression by multiplying out the terms and combining like terms. This is typically done to obtain a polynomial expression in its standard form. For example, to expand the expression (x + 2)^2, we multiply out the terms using the distributive property: (x + 2)^2 = (x + 2)(x + 2) = x(x + 2) + 2(x + 2) = x^2 + 2x + 2x + 4 = x^2 + 4x + 4. So, the expansion of (x + 2)^2 is x^2 + 4x + 4. Expanding can also involve more complex expressions such as binomials, trinomials, and higher-degree polynomials, where multiple terms are multiplied out and combined. View Solution Guide
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