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What reduces a equation that has two variables to an equation that has one variable?
combining like terms or subtracting from both sides of the equation.
What does it mean if two terms are like terms?
Two terms are considered like terms if they have the same variables raised to the same powers, allowing them to be combined through addition or subtraction. For example, (3x^2) and (5x^2) are like terms because they both contain the variable (x) raised to the second power. However, (2x) and (3y) are not like terms because they involve different variables. Combining like terms simplifies expressions and makes calculations easier.
Must two quantities have the same dimension if you are adding them?
Yes, two quantities must have the same dimension in order to be added together. This is because addition involves combining like terms, and only quantities with the same dimensional units can be meaningfully combined. For example, you cannot add meters and seconds, as they represent different dimensions.
When you add two terms with different exponential values do you add the exponents together?
No.
What does it mean to put together like-terms in an expression or equation?
Here is an expression with four terms:3 cows + 4 chickens + 6 cows - 2 chickensThe two 'cow' terms can be combined: 3 cows + 6 cows = 9 cowsThe two 'chicken' terms can be combined: 4 chickens - 2 chickens = 2 chickensSo after combining like terms, the expression is: 9 cows + 2 chickens .
When would you use combining like terms in the real world?
when u take a dump and see two identical turds you can combine their like terms :3
What reduces a equation that has two variables to an equation that has one variable?
combining like terms or subtracting from both sides of the equation.
What is 10 add 10?
20
What does it mean if two terms are like terms?
Two terms are considered like terms if they have the same variables raised to the same powers, allowing them to be combined through addition or subtraction. For example, (3x^2) and (5x^2) are like terms because they both contain the variable (x) raised to the second power. However, (2x) and (3y) are not like terms because they involve different variables. Combining like terms simplifies expressions and makes calculations easier.
Simplify the expression 3xy plus 5xy by combining as many terms as possible?
There are only the two terms, so 8xy
What makes two terms like terms?
Two terms are "like terms" when they are the same. For example, in the equation: 14x2 + 9x - 3 = 149x 9x and 149x are like terms because they both have "x" in them. Note that x2 is not a like term to x. You can add and subtract like terms, but not unlike terms. So the above equation could be reduced to: 14x2 - 3 = 140x by subtracting 9x from both sides.
Must two quantities have the same dimension if you are adding them?
Yes, two quantities must have the same dimension in order to be added together. This is because addition involves combining like terms, and only quantities with the same dimensional units can be meaningfully combined. For example, you cannot add meters and seconds, as they represent different dimensions.
When you add two terms with different exponential values do you add the exponents together?
No.
What does it mean to put together like-terms in an expression or equation?
Here is an expression with four terms:3 cows + 4 chickens + 6 cows - 2 chickensThe two 'cow' terms can be combined: 3 cows + 6 cows = 9 cowsThe two 'chicken' terms can be combined: 4 chickens - 2 chickens = 2 chickensSo after combining like terms, the expression is: 9 cows + 2 chickens .
Will the product of two polynomials always be a polynomial?
Yes, the product of two polynomials will always be a polynomial. This is because when you multiply two polynomials, you are essentially combining like terms and following the rules of polynomial multiplication, which results in a new polynomial with coefficients that are the products of the corresponding terms in the original polynomials. Therefore, the product of two polynomials will always be a polynomial.
How do you add quadratic equations?
You add compatible terms together. For example, if one equation has 3x2, and the other has 5x2, you combine those two terms as 8x2.
What is 7a 2b-2a 3b?
The expression ( 7a \cdot 2b - 2a \cdot 3b ) can be simplified by first multiplying the coefficients and then combining like terms. This results in ( 14ab - 6ab ). Subtracting the two terms gives ( 8ab ). Therefore, the simplified form of the expression is ( 8ab ).
