Algebra Homework Help : Simplification - Combining Like Terms
How to Find the GCF in Two or More Algebraic Terms ?
Like terms are those that have exactly the same variables and exponents. They may differ only in their coefficients.
Examples of Like Terms :
Examples of Unlike Terms :
Importantly, the only algebraic terms that can be combined (added or subtracted) are like terms. Since like terms differ only in their numerical coefficients, they are simply combined by adding and subtracting their coefficients. Combining like terms therefore implies adding or subtracting like terms and obtaining simplified equivalent expressions.
Example : 8x4 - 17x + 9 + 3x4 +12x + 27 = 11x4 - 5x + 36.
Note that a variable having an exponent of one is written without an exponent (i.e., x1 = x) and a variable with an exponent of zero equals one (i.e., x0 = 1).