simplify :(x+y+z)²-(x-y+z)²
You asked:
Simplify the expression: \({\left( x + y + z \right)}^{2} - {\left( x - y + z \right)}^{2}\)
MathBot Answer:
Simplified:
\[ {\left( x + y + z \right)}^{2} - {\left( x - y + z \right)}^{2} = 4 y \left(x + z\right) \]
Expanded:
\[ {\left( x + y + z \right)}^{2} - {\left( x - y + z \right)}^{2} = 4 x y + 4 y z \]
Factored:
\[ {\left( x + y + z \right)}^{2} - {\left( x - y + z \right)}^{2} = 4 y \left(x + z\right) \]