What Does Simplify Mean in Algebra?
What Does Simplify Mean in Algebra?
Simplifying an expression means rewriting it in the most compact form possible. Simplified expressions have fewer terms than the original expression, and fewer different types of terms, like exponents. In this article, we’ll explain what does simplify mean in algebra and discuss some tips to help you improve your skills when simplifying expressions.
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What Does Simplify Mean in Fractions?
When you simplify a fraction, the number or variable written inside brackets is multiplied with all other terms using the distributive property. The resulting fraction is the least complex form of the expression. Symbolic Math Toolbox provides a simplification function that can specifically be used for simplifying fractions.
What Does Simplify mean in Multipoint Geometry?
When you use the ITopologicalOperator method to simplify a geometry, Simplify permanently alters that input geometry. Depending on the type of geometry, this might include snapping x-, y-, z-, and m-coordinates to a grid; removing identical points; or updating self-intersections or overlaps.
In the example below, a multipoint geometry has two x- and two y-aware points. The x-coordinate values of the points are snapped to the corresponding x-grid and the y-coordinate values are snapped to the y-grid. For multipoints that are z-aware, the z-coordinate values are snapped to the associated z-grid.
What Does Simplify mean when you have a mixed equation?
When mixed equations are simplified, they become very easy to understand. The simplified expression is very compact and contains fewer terms than the original expression. It also has fewer different types of terms, like exponents, and is simpler to read.
What Does Simplify Mean when you have a mixed equation that mixes addition and subtraction?
When simplifying a mixed equation, you have to perform the operations in order until they are completed. The acronym PEMDAS can help you remember the order of operations. If there is a multiplication and division in the same problem, you should complete those operations first, then add and subtract.
What Does Simplify Mean When you have a mixed equation that mixes addition, subtraction and multiplication.
When simplifying expressions with fractions, you have to make sure that the fractions are in the simplest form and only unlike terms are present in the simplified expression. For instance, the expression (2/4)x + 3/6y is not a simplified expression because it doesn’t have the simplest form and both fractions are not unlike terms.
What Does Simplify Mean for a Monomial or Binomial?
When simplification is needed for a monomial or binomial expression, you have to multiply all the like terms together. This will give you a new expression that is easier to understand and solve.
What Does Simplify Mean with Variables?
Simplifying expressions with variables is important when you need to determine a variable value. The simplest way to do this is to divide the numerator and denominator by their greatest common factor. For example, in the expression (x – 5), you can simplify it to (x + 1)(3x)/(3x)(5 – x).
Simplifying with variables is much easier than with numbers. It is also quicker and more accurate. However, it is not recommended that you try to simplify a numerical expression with variables without using exponent rules. It can be confusing if you have never used exponent rules before, so it’s best to get comfortable with the basics first.