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OpenStudy (anonymous):
Why can't sqrt(x^4 - 4x^2) = x^2 - 4x?
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jimthompson5910 (jim_thompson5910):
because sqrt(a+b) does not equal sqrt(a)+sqrt(b)
OpenStudy (anonymous):
Just try squaring x² - 4x (x² - 4x)² = x^4 - 8x³ + 16x² ≠ x^4 - 4x²
jimthompson5910 (jim_thompson5910):
and if it did, then sqrt(4x^2) = 2x and not 4x
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