Final answer to the problem
$9x^2+y^2+4z^2-6xy+12xz-4yz$
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Step-by-step Solution
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- Produit de binômes avec terme commun
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1
Apply the formula: $\left(a+b+c\right)^2$$=a^2+b^2+c^2+2ab+2ac+2bc$, where $a=3x$, $b=-y$ and $c=2z$
$\left(3x\right)^2+\left(-y\right)^2+\left(2z\right)^2+2\cdot 3\cdot -1xy+2\cdot 3\cdot 2xz+2\cdot - 2yz$
Learn how to solve produits spéciaux problems step by step online.
$\left(3x\right)^2+\left(-y\right)^2+\left(2z\right)^2+2\cdot 3\cdot -1xy+2\cdot 3\cdot 2xz+2\cdot - 2yz$
Learn how to solve produits spéciaux problems step by step online. (3x-y2z)^2. Apply the formula: \left(a+b+c\right)^2=a^2+b^2+c^2+2ab+2ac+2bc, where a=3x, b=-y and c=2z. Apply the formula: ab=ab, where ab=2\cdot 3\cdot -1xy, a=2 and b=3. Apply the formula: ab=ab, where ab=6\cdot -1xy, a=6 and b=-1. Apply the formula: ab=ab, where ab=2\cdot 3\cdot 2xz, a=2 and b=3.
Final answer to the problem
$9x^2+y^2+4z^2-6xy+12xz-4yz$
