Final answer to the problem
$m^3-9m^2n-3m^2p+\left(-3n\right)^3+3m\left(-3n\right)^2-3\left(-3n\right)^2p-p^3+3mp^2-9np^2+18mnp$
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Step-by-step Solution
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1
Expand the cube of a trinomial
$m^3+3\cdot -3m^2n+3\left(-1\right)m^2p+\left(-3n\right)^3+3m\left(-3n\right)^2+3\left(-1\right)\left(-3n\right)^2p+\left(-p\right)^3+3m\left(-p\right)^2+3\cdot -3n\left(-p\right)^2+6\cdot -3\left(-1\right)mnp$
Learn how to solve discriminant of quadratic equation problems step by step online.
$m^3+3\cdot -3m^2n+3\left(-1\right)m^2p+\left(-3n\right)^3+3m\left(-3n\right)^2+3\left(-1\right)\left(-3n\right)^2p+\left(-p\right)^3+3m\left(-p\right)^2+3\cdot -3n\left(-p\right)^2+6\cdot -3\left(-1\right)mnp$
Learn how to solve discriminant of quadratic equation problems step by step online. Expand the expression (m-3n-p)^3. Expand the cube of a trinomial. Multiply 3 times -3. Multiply 3 times -1. Multiply 3 times -1.
Final answer to the problem
$m^3-9m^2n-3m^2p+\left(-3n\right)^3+3m\left(-3n\right)^2-3\left(-3n\right)^2p-p^3+3mp^2-9np^2+18mnp$