Final answer to the problem
$a^2+b^2+\left(-2c\right)^2+2ab-4ac-4bc$
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Step-by-step Solution
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1
Apply the formula: $\left(a+b+c\right)^2$$=a^2+b^2+c^2+2ab+2ac+2bc$, where $c=-2c$
$a^2+b^2+\left(-2c\right)^2+2ab+2\cdot -2ac+2\cdot -2bc$
Learn how to solve produits spéciaux problems step by step online.
$a^2+b^2+\left(-2c\right)^2+2ab+2\cdot -2ac+2\cdot -2bc$
Learn how to solve produits spéciaux problems step by step online. (a+b-2c)^2. Apply the formula: \left(a+b+c\right)^2=a^2+b^2+c^2+2ab+2ac+2bc, where c=-2c. Apply the formula: ab=ab, where ab=2\cdot -2ac, a=2 and b=-2. Apply the formula: ab=ab, where ab=2\cdot -2bc, a=2 and b=-2.
Final answer to the problem
$a^2+b^2+\left(-2c\right)^2+2ab-4ac-4bc$
