To simplify the expression (4x - y)² + 8xy, we can expand the square of the binomial (4x - y)² using the formula (a - b)² = a² - 2ab + b².
Expanding (4x - y)²:
(4x - y)² = (4x)² - 2(4x)(y) + (y)²
= 16x² - 8xy + y²
Now, we can substitute this expanded expression back into the original expression:
(4x - y)² + 8xy = 16x² - 8xy + y² + 8xy
= 16x² + y²
Therefore, the simplified expression is 16x² + y².
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