Binomial Multiplication Calculator

Enter a in ax+b.
Enter b.
Enter c in cx+d.
Enter d.
Math

Binomial Multiplication: calculate results from explicit inputs, with a formula and worked example.

Formula

(ax+b)(cx+d) = ac x² + (ad+bc)x + bd

Example Calculation

Example inputs
  • a in ax+b: 1
  • b: 2
  • c in cx+d: 1
  • d: -3

(x+2)(x−3) = x²−x−6.

Frequently asked questions

How do I use this calculator?

Enter a in ax+b, b, c in cx+d, d. The result updates automatically. Use Reset to restore the example values.

What method does it use?

(ax+b)(cx+d) = ac x² + (ad+bc)x + bd. Real finite inputs. Numeric results use floating-point arithmetic; this is not a symbolic computer algebra system.

Why might a rounded result differ?

The calculation keeps full numeric precision internally, then rounds the displayed result. Rounding intermediate steps by hand can produce a slightly different answer.

Are my inputs saved online?

No. This calculator processes your inputs in your browser. A recently used list stores only calculator names on this device, not your entered values.

Check the assumptions and units before using this result. Read about calculation methods.