Multiplication
Square of a Binomial
Examples
Example 1 Square the binomial & simplify.
(5x – 2y)2
Step 1. Apply the Square of a Binomial Rule.
(5x)2 + 2(5x)(-2y) +(-2y)2
Step 2. Simplify & rewrite in standard form.
25x2 – 20xy + 4y2
Example 2 Square the binomial & simplify.
(x2 + 4)2
Step 1. Apply the Square of a Binomial Rule.
(x2)2 + 2(x2)(4) + (4)2
Step 2. Simplify & rewrite in standard form.
x4 + 8x2 + 16