MathCastle
Algebra 1MediumWhere the Formulas Come From

Where the Formulas Come From · Medium problem

A student expands (4x+2)2(4x + 2)^2 like this:

Step 1. (4x+2)2=(4x)2+(2)2(4x + 2)^2 = (4x)^2 + (2)^2

Step 2. =16x2+4= 16 x^{2} + 4

Which step is wrong, and what is the correct expansion?