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Help Me Please.

 

Exercise

 

Simplify:√(x+y)(x2- y2)

ManuelBautista2019  Feb 21, 2018

Best Answer 

 #1
avatar+7266 
+2

      √[ (x+y)(x2- y2) ]

\(=\\ \quad\sqrt{(x+y)(x^2- y^2)}\\ =\\ \quad\sqrt{(x+y)(x+y)(x-y)}\\ =\\ \quad\sqrt{(x+y)^2(x-y)}\\ =\\ \quad\sqrt{(x+y)^2}\sqrt{(x-y)} \\ =\\ \quad\left | x+y \right |\sqrt{x-y}\)

hectictar  Feb 21, 2018
 #1
avatar+7266 
+2
Best Answer

      √[ (x+y)(x2- y2) ]

\(=\\ \quad\sqrt{(x+y)(x^2- y^2)}\\ =\\ \quad\sqrt{(x+y)(x+y)(x-y)}\\ =\\ \quad\sqrt{(x+y)^2(x-y)}\\ =\\ \quad\sqrt{(x+y)^2}\sqrt{(x-y)} \\ =\\ \quad\left | x+y \right |\sqrt{x-y}\)

hectictar  Feb 21, 2018

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