valmen1313
valmen1313 valmen1313
  • 19-03-2017
  • Mathematics
contestada

please foil (x^2 - (1/5x^2))^2

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PythonAndPseint
PythonAndPseint PythonAndPseint
  • 19-03-2017




(x² - (1/5x²))²

Using (a-b)² = a²-2×ab+b²

(x²)² -2x²×(1/5x)² + (1/5x²)²

x⁴ -2x⁴ + 1/25⁴

We developed the fraction to obtain the lowest common denominator

x⁴/1 - 2x⁴/5 +x⁴/25

25×(X⁴)/25×1 - 5×(2x⁴)/5×5 + x⁴/25


25×⁴/25 - 10x⁴/25 + x⁴/25

{25×⁴- 10x⁴ + 1x⁴}/25

{26×⁴- 10x⁴}/25

{26×⁴- 10x⁴}/25

16x⁴/25
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