Final answer to the problem
$x^2+4y^2+z^2+4xy-2xz-4yz$
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Step-by-step Solution
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- Produit de binômes avec terme commun
- Méthode FOIL
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1
Apply the formula: $\left(a+b+c\right)^2$$=a^2+b^2+c^2+2ab+2ac+2bc$, where $a=x$, $b=2y$ and $c=-z$
$x^2+\left(2y\right)^2+\left(-z\right)^2+2\cdot 2xy+2\cdot -1xz+2\cdot 2\cdot -1yz$
Learn how to solve produits spéciaux problems step by step online.
$x^2+\left(2y\right)^2+\left(-z\right)^2+2\cdot 2xy+2\cdot -1xz+2\cdot 2\cdot -1yz$
Learn how to solve produits spéciaux problems step by step online. (x+2y-z)^2. Apply the formula: \left(a+b+c\right)^2=a^2+b^2+c^2+2ab+2ac+2bc, where a=x, b=2y and c=-z. Apply the formula: ab=ab, where ab=2\cdot 2xy, a=2 and b=2. Apply the formula: ab=ab, where ab=2\cdot -1xz, a=2 and b=-1. Apply the formula: ab=ab, where ab=2\cdot 2\cdot -1yz, a=2 and b=2.
Final answer to the problem
$x^2+4y^2+z^2+4xy-2xz-4yz$
