Let’s see how to subtract monomials.
1) First of all, be sure that two monomials to be subtracted are like terms (variable and exponent must be same). For instance, 4x2 and -4x2 are like terms, since they both have the same variable and exponents.
2) Then take common variable terms and,
3) Subtract the coefficients and write the resulting coefficient to left of the variable and exponent.
4) After subtraction, sign of larger number will be used with the result.
Let’s take an example to understand subtraction:
Consider 9x2 and 12x2?
Subtraction will be performed by taking common variable 'x' and exponent 2. This will be given as
9x2 – 12x2 = (9 – 12) x2,
Since sign of the term 12 is negative that’s why there will be negative result. And answer will be
9x2 – 12x2 = – 3x2,
Addition will be:
9x2 + 12x2 = (9 + 12) x2 = 21x2.