Collect Like Terms Calculator

Work out collect like terms instantly with clear inputs, formula shown and shareable results.

About Collect Like Terms Calculator

Like terms share exactly the same variable part, so their coefficients can be added. Grouping by power — x², x and constants — turns a long expression into standard quadratic form.

Formula

Standard form

ax² + bx + c with a, b, c each the sum of the matching coefficients

Worked example

With the default values below, Collect Like Terms Calculator returns Collected expression of 5x^2 + 5x - 5. Change any input above and every figure here is recalculated in your browser.

Inputs used

Coefficients of x² terms: 2, 3
Coefficients of x terms: -4, 9
Constant terms: 6, -11

Results

Collected expression: 5x^2 + 5x - 5
Total x² coefficient: 5.000000
Total x coefficient: 5.000000
Total constant: -5.000000

Step by step

1Values used
2Standard form
3Collected expression= 5x^2 + 5x - 5
4Total x² coefficient= 5.000000
5Total x coefficient= 5.000000
6Total constant= -5.000000

Assumptions and limits

The result is derived only from the 3 inputs listed above. Anything not among them is not part of the calculation.
In particular, this calculator does not take inflation, tax, fees or charges or compounding frequency into account.
Figures are rounded for display to 6 decimal places, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.

How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.

Frequently Asked Questions

Collect 2x² + 3x² − 4x + 9x + 6 − 11.

5x² + 5x − 5.

Does the order of terms matter?

No for the value, but standard form lists descending powers, which makes comparison and factorising easier.