when you are multiplying an equation how do you find like terms
The ones that look alike. The numbers are like terms such as 4 or 8 or 10. The variables are like terms such as 4x or 9x or 3x but both of these like terms are different still from say 4x^2 or 19x^3. Another way to look at it that numbers are one kind of like terms, all of the xs will be like terms, all of the ys will be like terms, all of the x^2 values will be alike, etc. I hope this helps.
like terms are the same ie 3x and 8x are like, 8x^2 and 3x are not. the "X" must match and the power must match.
To find like terms when multiplying equations, you need to identify terms that have the same variable(s) and exponent(s). Here's how you can do it:
1. Identify the variables: Look for the letters or symbols used in the equation. Common variables include x, y, z, a, b, etc.
2. Identify the exponents: Check if any variables have exponents or powers associated with them. For example, x^2 or y^3.
3. Match the variables and exponents: Group together terms that have the same variable(s) and exponent(s). For instance, 3x and 8x are like terms because they have the same variable "x" and no exponent, while 8x^2 and 3x are not like terms because their exponents differ.
4. Combine the coefficients: Simplify the equation by adding or subtracting the coefficients (the numbers in front of the variables) of the like terms. For example, 3x + 8x = 11x.
Remember that like terms can be combined or simplified, whereas unlike terms cannot be directly combined.
By identifying and understanding like terms, you can properly multiply equations by simplifying them to their simplest form.