Algebra and Precalculus

Irina Boyadzhiev, Dec 19, 2015


  • 1. The Square of a Sum
  • 2. The Difference of Squares
  • 3. Square Root of a Sum ? - Geometric Interpretation
  • 4. Relations and Functions
  • 5. Functions, Tables, Domain and Range
  • 6. Vertical Line Test
  • 7. Domain and Range of a Function by Flattening to the Axis
  • 8. Domain and Range of a Function
  • 9. Horizontal Line Test
  • 10. Inverse Function
  • 11. Increasing and Decreasing Functions
  • 12. Solving inequalities for functions by using graphs
  • 13. Transformation of Functions
  • 14. Even Function?
  • 15. Is this function even, odd or neither?
  • 16. Asymptotes of Rational Functions

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The Square of a Sum

Enter two numbers for [math]a[/math] and [math]b[/math]. Click on segments [math]a[/math], [math]b[/math] and [math](a+b)[/math] to form [math]a^2[/math], [math]b^2[/math] and [math](a+b)^2[/math]. Drag the red and the blue square over the orange square. Is it true that [math]a^2+b^2=(a+b)^2[/math]? What has to be added to the area [math]a^2+b^2[/math] to make it equal to the area [math](a+b)^2[/math] of the orange square?
– Irina Boyadzhiev

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