A numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g., 4 in 4xy).
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In terms of mathematics, a coefficient plays the role of a multiplicative factor in a series or an expression. The two different kinds of coefficients include numbers and letters.
Coefficients don't 'stand' for anything. They are numbers which multiply variables. For instance, in the expression 3 x + 2, three is the coefficient of x.
To find an expression equivalent to -28xy 35y, we can first simplify by multiplying the coefficients -28 and 35 to get -980. Then, we multiply the variables x and y to get xy^2. Therefore, the expression equivalent to -28xy 35y is -980xy^2.
The expression 4e + 3d + 5e - 5d can be simplified by combining like terms. Grouping the terms with the same variable together, we have 4e + 5e + 3d - 5d. Combining the coefficients of e gives us 9e, and combining the coefficients of d gives us -2d. Therefore, the simplified expression is 9e - 2d.
To simplify the expression 2x + 3y + 4x + 9y, you first combine like terms. Adding the coefficients of x terms gives 2x + 4x = 6x. Similarly, adding the coefficients of y terms gives 3y + 9y = 12y. Therefore, the simplified expression is 6x + 12y.