Combining Like Terms Calculator
How It Works
This combining like terms calculator uses established formulas to provide accurate results.
The basic rule:
- ax + bx = (a + b)x
- Like terms: same variable(s) with same exponent(s)
Results are estimates. Consult a professional for critical decisions.
Frequently Asked Questions
What are like terms?
Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms because they both have the variable x. But 3x and 3x² are NOT like terms because the exponents differ.
How do you combine like terms?
Add or subtract the coefficients (the numbers in front of the variables) and keep the variable the same. For example, 3x + 5x = 8x. The coefficients 3 and 5 add to 8, and x stays the same.
Can constants be like terms?
Yes. Numbers without variables (constants) are like terms with each other. For example, in 3x + 4 + 2x + 7, the constants 4 and 7 combine to 11, and 3x + 2x combine to 5x, giving 5x + 11.
What is a coefficient?
A coefficient is the number multiplied by a variable. In 5x, the coefficient is 5. If you see just x with no number, the coefficient is 1. If you see -x, the coefficient is -1.