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In mathematics, an expansion of a product of sums expresses it as a sum of products by using the fact that multiplication distributes over addition. Expansion of a polynomial expression can be obtained by repeatedly replacing subexpressions that multiply two other subexpressions, at least one of which is an addition, by the equivalent sum of products, continuing until the expression becomes a ...
In mathematics, brackets of various typographical forms, such as parentheses ( ), square brackets [ ], braces { } and angle brackets , are frequently used in mathematical notation. Generally, such bracketing denotes some form of grouping: in evaluating an expression containing a bracketed sub-expression, the operators in the sub-expression take ...
These identities are useful whenever expressions involving trigonometric functions need to be simplified. An important application is the integration of non-trigonometric functions: a common technique involves first using the substitution rule with a trigonometric function, and then simplifying the resulting integral with a trigonometric identity.
Trump and his proposed policies have been viewed as potentially more inflationary due to the president-elect's campaign promises of high tariffs on imported goods, tax cuts for corporations, and ...
Fresh off winning the NBA Cup, Damian Lillard is joining an exclusive club. The Milwaukee Bucks point guard has agreed to a lifetime contract extension with Adidas, per ESPN's Shams Charania ...
World Trade Organization members failed to agree on reforms to revive a broken trade dispute settlement system during the last General Council meeting before U.S. President-elect Donald Trump ...
Therefore, when expanding the exponent, one has implicitly supposed that = for complex values of z, which is wrong, as the complex logarithm is multivalued. In other words, the wrong identity ( e x ) y = e xy must be replaced by the identity ( e x ) y = e y log e x , {\displaystyle \left(e^{x}\right)^{y}=e^{y\log e^{x}},} which is a ...
In mathematics, the distributive property of binary operations is a generalization of the distributive law, which asserts that the equality (+) = + is always true in elementary algebra.
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