Multiplying Monomials
To multiply two monomials, multiply the coefficients and add the power of the variables.
By multiplying 3x and 4x, we get (4*3)x∧(1+1)=12x2.
By multiply 3x and 4y, we get (4*3)xy=12xy.
Remember:
Do not forget to add the powers of the same variable.
The terms need not be like terms to be multiplied.
Coefficient
A constant multiplier of a variable is known as coefficient. They are typically represented by letters a,b,c.
Example:
In the expression 3x+5,3 is the coefficient of x.
In the equation 4x+2y=6,4 is the coefficient of x and 2 is the coefficient of y.
In the inequality 2*sin(x)+3>z,2 is the coefficient of the function sin(x).
Remember:
Coefficient cannot change its value.