Final answer to the problem
$x^{9}+6x^{6}bf-3x^{6}z^3+8b^3f^3+12x^3b^2f^2-12\left(bf\right)^2z^3-z^{9}+3x^3z^{6}+6bfz^{6}-12x^3bfz^3$
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Step-by-step Solution
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1
Expand the cube of a trinomial
$\left(x^3\right)^3+3\cdot 2\left(x^3\right)^2bf+3\left(-1\right)\left(x^3\right)^2z^3+\left(2bf\right)^3+3x^3\left(2bf\right)^2+3\left(-1\right)\left(2bf\right)^2z^3+\left(-z^3\right)^3+3x^3\left(-z^3\right)^2+3\cdot 2bf\left(-z^3\right)^2+6\cdot 2\left(-1\right)x^3bfz^3$
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$\left(x^3\right)^3+3\cdot 2\left(x^3\right)^2bf+3\left(-1\right)\left(x^3\right)^2z^3+\left(2bf\right)^3+3x^3\left(2bf\right)^2+3\left(-1\right)\left(2bf\right)^2z^3+\left(-z^3\right)^3+3x^3\left(-z^3\right)^2+3\cdot 2bf\left(-z^3\right)^2+6\cdot 2\left(-1\right)x^3bfz^3$
Learn how to solve problems step by step online. Expand the expression (x^3+2bf-z^3)^3. Expand the cube of a trinomial. Multiply 3 times 2. Multiply 3 times -1. Multiply 3 times -1.
Final answer to the problem
$x^{9}+6x^{6}bf-3x^{6}z^3+8b^3f^3+12x^3b^2f^2-12\left(bf\right)^2z^3-z^{9}+3x^3z^{6}+6bfz^{6}-12x^3bfz^3$