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What are the rules for combining like terms?
When combining like terms like 2x+3x we add their coeffitients, for example 2x+3x=(2+3)x=5x
What are like terms in algebra?
Terms with the same variable(s). In like terms, you may add, subtract, multiply, or divide them. In the equation 3x - 5ax + 9x = 7ax, the 5x and the 10x are like terms because they both contain variables of the same value. Thus, we are allowed to add them up and get 12x. The -5ax and the 7ax are also like terms and if we add 5ax to both sides (after we add 3x to 9x), we'll get the equation 12x = 12ax.
How do you add like terms?
To add like terms, find the terms that have the same (or no) variable, and combine the coefficients of the terms. For instance, if you have a+b where a and b are real numbers, you can combine them.
What is - 2y - 5y?
-3
When combining like terms do you add the exponents together?
Yes when multiplying. No when adding. 3n^3 + 3n^3 = 6n^3 3n^3 x 3n^3 = 9n^6
What are the rules for combining like terms?
When combining like terms like 2x+3x we add their coeffitients, for example 2x+3x=(2+3)x=5x
How do you simplify by combining like terms?
You add (or subtract) like terms. This will reduce the number of terms in the expression and that is the extent of simplification that you can achieve using this process.
Which expression is equivalent to 4.8 2.2w-1.4w 2.4?
Lots of expressions are equivalent to it. But for a start, you may want to simplify it, by combining like terms - i.e., add the terms with the variable "w", and separately add the terms without a variable.
How do you solve multiplication with like terms?
Just multiply the coefficients, leave the variable the same, and add the exponents.
How do solve combining like terms?
If all the variables are the same, you just add (algebraically add) the numbers. For example: 3a + 4a = 7a 2a - 10a = -8a
What is the answer to -2x-4x?
The expression -2x - 4x can be simplified by combining like terms. When you add -2x and -4x together, you get -6x. So, the answer is -6x.
How do you multiply and divide numbers with exponents?
If you have like terms then to multiply you add the exponents and to divide you subtract.So, x2 * x3 = x5 and y7 / y5 = y2Also, for example, 2x2 * x3 = 2x5 (we can do this as the terms are like; x's only)But if you do not have like terms then this does not apply.For example, x2 * y3 does not equal xy5.
What is combining like terms in algebra?
All multiples of x are like terms, as all multiples of x2 are also like terms. To combine terms is simply to add them up. So if you have an equation such as, 3x2 + 4x2 + 2x + 6x + 10 = 0, you can combine the like terms; the result is 7x2 + 8x +10 = 0.
What are like terms in algebra?
Terms with the same variable(s). In like terms, you may add, subtract, multiply, or divide them. In the equation 3x - 5ax + 9x = 7ax, the 5x and the 10x are like terms because they both contain variables of the same value. Thus, we are allowed to add them up and get 12x. The -5ax and the 7ax are also like terms and if we add 5ax to both sides (after we add 3x to 9x), we'll get the equation 12x = 12ax.
Why do we add the exponents when we multiply terms with the same base?
When we multiply terms with the same base, we add the exponents due to the definition of exponentiation. Each exponent indicates how many times the base is multiplied by itself, so when we multiply two terms with the same base, we are essentially combining all those multiplications. For example, (a^m \times a^n) can be rewritten as (a) multiplied by itself (m) times and then (n) additional times, resulting in (a^{m+n}). This property helps simplify calculations and maintain consistency within the rules of exponents.
What is -2x-12x?
The expression -2x - 12x can be simplified by combining like terms. When you add -2x and -12x together, you get -14x. Therefore, the simplified expression is -14x.
What is 4s plus 2s equal?
The expression (4s + 2s) can be simplified by combining like terms. When you add the coefficients of (s), you get (6s). Therefore, (4s + 2s = 6s).
