Question

Explain whether the coefficients of two terms with different variables can be added to make one new term.​

Answer 1

Explanation:

The cool thing about like terms is that we can combine them into a single term by adding their coefficients. For example: begin {aligned} &4x+3x\\ =& (4+3)x\\ =&7x end {aligned} = =4x + 3x (4 + 3)x 7x

Answer 2

No, the coefficients of two terms with different variables cannot be added to make one new term. The coefficients represent the numerical values in front of the variables in an algebraic expression. When two terms have different variables, it means they represent different quantities, so it is not possible to combine them into a single term.

For example, consider the terms 3x and 4y. These two terms have different variables and represent different quantities, so they cannot be added together to form a new term.

However, it is possible to combine terms that have the same variable. For example, 3x and 5x can be combined to give 8x because they have the same variable "x". In this case, the coefficients are added together to give the coefficient of the new term.

~~~Harsha~~~