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anemone
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Let $a,\,b,,c \in \mathbb R$ such that $ab+bc+ca=0$ and $abc\ne 0$. Evaluate $\dfrac{a^5+b^5+c^5-1}{abc}$.
An algebraic expression is a mathematical phrase that contains variables, numbers, and mathematical operations such as addition, subtraction, multiplication, and division. It does not contain an equal sign and cannot be solved.
To evaluate an algebraic expression, you need to substitute the given values for the variables and then use the order of operations (PEMDAS) to simplify the expression. Start by solving any operations within parentheses, then exponents, then multiplication and division from left to right, and finally addition and subtraction from left to right.
An expression is a mathematical phrase that contains variables, numbers, and mathematical operations, whereas an equation is a statement that shows the equality of two expressions. An equation has an equal sign and can be solved to find the value of the variable.
Yes, an algebraic expression can have more than one variable. In fact, it can have any number of variables as long as it follows the rules of algebra and can be simplified.
Some common mistakes when evaluating algebraic expressions include forgetting to use the order of operations, making errors while substituting values for variables, and incorrectly simplifying the expression. It is also important to pay attention to signs, such as negative signs, when combining like terms.