Multiplying Two Binomials

Multiplying Two Binomials

Here we multiply (or expand) two linear binomials:

The product of two identical binomials is known as the square of the binomial and is written as:

\[{(ax + b)}^{2} = {a}^{2}{x}^{2} + 2abx + {b}^{2}\]

If the two terms are of the form \(ax + b\) and \(ax - b\) then their product is:

\[(ax + b)(ax - b) = {a}^{2}{x}^{2} - {b}^{2}\]

This product yields the difference of two squares.