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Combining like terms
- This process is called combining like terms. For example, 3a2b + 2a2b = 5a2b Notice that the variable factors and their exponents do not change. Combining like terms in this manner, so that the expression contains no other similar terms, is called simplifying the expression.
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Oct 6, 2021 · Combining like terms in this manner, so that the expression contains no other similar terms, is called simplifying the expression. Use this idea to simplify algebraic expressions with multiple like terms.
In math, simplifying expressions is a way to write an expression in its lowest form by combining all like terms together. It requires one to be familiar with the concepts of arithmetic operations on algebraic expressions, fractions, and exponents.
- Combining The Like Terms
- Factoring
- Expanding The Equation
- Multiplication and Division of Terms
First, we'll need to combine the like terms in the equation. This simply means putting together whichever terms are the same to shorten the equation. For example: 17x + 3y – 9x would be simplified to 8x + 3y because we combined the x terms. Or 3a -5b + 3ab + 7a = 22, which would be simplified to: 10a – 5b +3ab = 22. Essentially, look for any like t...
Secondly, we have the factoring method. This one is trickier as it involves a different knowledge of algebra operations, and it is also not technically simplified. The process only applies as a simplification method if you are solving long, combined algebraic equations. Simply put, we take a long equation and simplify it by factoring it back into a...
The next method is also known as the Distributive Property. It is where you expand the equation by removing brackets and make it into a longer but easier to manipulate. For Example: 5b (b – 6) + 4 = 10 would be simplified to 5b2 – 30b + 4 = 10 which is much easier to work with.
Finally, we have the multiplication and division of the terms. This simply means multiply what can be multiplied or divide what can be divided. This ensures you finally work with the equation with the smallest possible coefficients. One example is this: (4x – 12y) ÷ 4 + 3 = 0 It would be simplified to this: (x – 3y) + 3 = 0 A second example would b...
What is simplifying expressions? Simplifying expressions involves using the properties of operations to create equivalent algebraic expressions. For example, Simplify 4(x+7)-x. First, look at 4(x+7) which is ‘4 times the sum of x and 7.’ Notice that each method shows 4(x+7)=4x+28.
Simplification is the process of replacing a mathematical expression by an equivalent one, that is simpler, usually shorter. How do you simplify mathematical expressions? Order of operations play a major role in simplifying mathematical operations.
Mar 21, 2024 · Here is our thought process: First, multiply −5 times 2x, getting −10x. Second, multiply −5 times −3y, getting +15y. Third, multiply −5 times +8, getting −40.
A rational expression is a ratio of two polynomials. A rational expression is considered simplified if the numerator and denominator have no factors in common. If this is new to you, we recommend that you check out our intro to simplifying rational expressions.
